CN112858784B - Traction power supply system-regional power grid parallel harmonic resonance frequency identification method - Google Patents
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Abstract
A method for identifying parallel harmonic resonance frequency of a traction power supply system-regional power grid includes utilizing electric energy quality synchronous monitoring equipment to record voltage waveforms of any bus A phase, B phase or C phase of a traction transformer high-voltage side regional power grid and voltage waveforms of a locomotive network side, estimating amplification factors of the bus A phase, B phase or C phase from a locomotive transmission harmonic from a locomotive network side high-voltage circuit to the traction transformer high-voltage side regional power grid, and judging whether the parallel harmonic resonance frequency exists in the railway traction power supply system-regional power grid. The method can identify whether the parallel harmonic resonance frequency exists in the railway traction power supply system-regional power grid or not, and quantitatively reflect the harmonic influence of locomotive emission harmonic on the regional power system; the method can be used for quantitatively analyzing the harmonic influence of railway locomotive emission harmonic waves on the traction transformer high-voltage side regional power grid, and compared with a simulation analysis method, the method does not need to establish a traction power supply system-regional power grid harmonic model, and is simpler and accurate enough.
Description
Technical Field
The invention relates to the technical field of power quality of railway traction power supply systems, in particular to a method for identifying parallel harmonic resonance frequency of a traction power supply system-regional power grid.
Background
By 7 months in 2020, the business mileage of China high-speed rail reaches more than 3.6 ten thousand kilometers, and exceeds two thirds of the total mileage of the world high-speed rail. According to the national iron group, the prior planning outline of the traffic national railway in the new era is published in the future: the national railway network for the next 30 years is 20 kilometers, wherein the high-speed rail is 7 kilometers, and the high-speed rail is accessed in areas above 50 ten thousand people. In general, the current high-speed railways form large-scale and networked distribution in regional power grids, the future development is more and more rapid, and the load ratio is remarkably increased year by year. The traction power supply system with high power and variable working conditions (traction, idle running and regeneration working conditions), high-speed movement, high running density and networking can cause the problems of power supply pressure and power quality of the regional power grid to be increased greatly. Harmonics are one of the most interesting directions in the field of electrical energy quality at all times: the problems of harmonic amplification and harmonic resonance of a traction network are reported in more documents, and explosion of a lightning arrester and explosion of capacitive equipment such as a voltage transformer and a capacitor bank are often caused; meanwhile, research on harmonic influence of railway locomotive emission harmonic waves on a traction transformer high-voltage side regional power grid is becoming one of hot spots of harmonic wave research.
The existing analysis railway traction power supply system-regional power grid parallel harmonic resonance frequency identification method is mainly based on system mathematical model analysis: analysis is performed by building a complete fundamental/harmonic model of "regional power grid-traction power supply system-locomotive". The analysis method comprises a harmonic transmission amplification method, a frequency spectrum analysis method, a resonance modal analysis method, an S domain or frequency domain transfer function method. However, these methods require accurate system components and structural parameters, the modeling process is complex, and only qualitative determination of whether there is a resonant frequency is possible, and it is impossible to quantitatively give the amplification factor of the railway locomotive transmitting harmonic waves to the high voltage side of the traction transformer.
Disclosure of Invention
The invention aims to provide a traction power supply system-regional power grid parallel harmonic resonance frequency identification method.
The technical scheme for realizing the purpose of the invention is as follows:
a method for identifying the parallel harmonic resonance frequency of a traction power supply system-regional power grid comprises the steps of,
step 1: selecting a time period in which only one locomotive runs, and acquiring a voltage waveform K of any one of A phase, B phase and C phase of any bus of a traction transformer high-voltage side regional power grid with an effective sampling rate greater than r.times.H.times.50 Hz and a voltage waveform P of a locomotive network side high-voltage circuit; wherein H is the highest harmonic frequency to be analyzed, and r is a multiple of the highest harmonic frequency;
step 2: and respectively performing fast Fourier transform on the voltage waveform K and the voltage waveform P to obtain: a square root time series of fundamental wave voltage and harmonic wave voltage of K, and a square root time series of fundamental wave voltage and harmonic wave voltage of P; and then obtain: time series of content of each subharmonic voltage of K
Time series of the content of each subharmonic voltage of P>
Wherein H is the harmonic frequency, h=2, …, H;
step 3: for any h harmonic, a sliding time window with a window width of L and a sliding step length of L/2 is adopted
and />
Dividing the power supply into N sub-time periods respectively to obtain N corresponding harmonic voltage content rate periods; fitting by using a binary linear regression equation to obtain a relation Y between the h-order harmonic voltage contents of K and P in the harmonic voltage content section i ＝λ i X i +b i +ε i The method comprises the steps of carrying out a first treatment on the surface of the Wherein i is the sequence number of the harmonic voltage content ratio section, i=1, …, N, Y i Is the harmonic of K, X i Is the harmonic of P, lambda i B is the slope of the regression line, namely the harmonic amplification factor of the h harmonic from P to K i For the intercept, ε i Is a regression residual;
step 4: the linearity F is obtained by carrying out the significance test of the linear relation between the content of the h harmonic voltages of K and P in the harmonic voltage content section i i ：
wherein ,
is the ith harmonic electric of PThe j-th value in the pressure-containing rate section, < >>
Is the jth value in the ith harmonic voltage content segment of K;
step 5: select with F i Is increased by lambda with uniform aggregation effect i These lambda's are used for i Average value of (2)
Harmonic amplification from P to K as the h-order harmonic; if the amplification factor is larger than 1, judging that the parallel harmonic resonance frequency exists for h times in the railway traction power supply system.
Further, in step 5, the following F is selected i Is increased by lambda with uniform aggregation effect i The method comprises the following steps:
5.1N F i Ordering from big to small; let m be λ to be selected i The amount of (c) to the percentage of N;
5.2 calculating m% and N, and rounding downwards to obtain M;
5.3 calculating the first M F i Variance Var1 and N F i The ratio of variance Var2 of (2)
I.e.
5.4 if
Less than the threshold value delta, then the selected lambda is determined i With F i Has a consistent aggregation effect; otherwise, let m=m-1 return to step 5.2 for recalculation until +.>
Less than the threshold delta.
Further, in the above 5.1, the threshold Δ=m%.
Compared with the prior art, the invention has the beneficial effects that,
1. the method can identify whether the parallel harmonic resonance frequency exists in the railway traction power supply system-regional power grid, and quantitatively reflect the harmonic influence of locomotive emission harmonic on the regional power system.
2. The method can be used for quantitatively analyzing the harmonic influence of railway locomotive emission harmonic waves on the traction transformer high-voltage side regional power grid, and compared with a simulation analysis method, the method does not need to establish a traction power supply system-regional power grid harmonic model, and is simpler and accurate enough.
Drawings
Fig. 1 is a schematic diagram of a railway traction power supply system-regional power grid structure.
Detailed Description
Specific embodiments of the present invention are further described below with reference to the accompanying drawings.
As shown in fig. 1, the power quality synchronous monitoring device is used for recording the voltage waveform of any bus a phase, B phase or C phase of the traction transformer high-voltage side regional power grid and the voltage waveform of the locomotive network side, so as to estimate the amplification factor of the bus a phase, B phase or C phase from the locomotive transmission harmonic wave from the locomotive network side high-voltage circuit to the traction transformer high-voltage side regional power grid, and further judge whether the parallel harmonic resonance frequency exists in the railway traction power supply system-regional power grid. Taking phase a of bus bar 1 in fig. 1 as an example, the steps are:
a) And selecting a time period when only one locomotive runs in the power supply interval, and acquiring a voltage waveform of the A phase of the traction transformer high-voltage side regional power grid bus 1 and a voltage waveform of a locomotive network side high-voltage circuit (measured by a voltage transformer between a pantograph and a main circuit breaker) with an effective sampling rate greater than r.H.50 Hz (H is the highest harmonic frequency to be analyzed, and r is a multiple of the highest harmonic frequency), wherein the voltage waveforms are respectively marked as K and P.
b) The fundamental wave voltage and the 2 to H harmonic voltages of the voltage waveform K of the phase A of the bus 1 and the voltage waveform P of the locomotive network side high voltage circuit are extracted by a Fast Fourier Transform (FFT) method. At this time, the A phase of the regional power grid bus 1 and the locomotive grid side high-voltage power supply are obtainedThe fundamental wave voltage and the square root value time sequence of the 2-H harmonic voltage of the circuit. Then dividing the harmonic amplitude of h=2 and above by the fundamental amplitude (h=1) by 100% to obtain the harmonic voltage content, thus obtaining the time series of each subharmonic voltage content of K
Time series of the content of each subharmonic voltage of P>
Where H is the harmonic order, h=2, …, H.
c) For any h harmonic wave, dividing the harmonic voltage content time sequence of K and P into sub-time periods with the width of up and the sliding step length of L/2 by adopting a sliding time window, and obtaining N segments of data altogether. The window width L may be 100-200, and the sliding step length len=10. For the ith data segment, fitting the relation between the h harmonic of P and the h harmonic of K by using a binary linear regression equation, wherein the obtained equation expression is Y i ＝λ i X i +b i +ε i ，X i Represents the ith harmonic data segment of P, Y i Represents the ith harmonic data segment of K, lambda i Is the slope of the regression line, namely the amplification factor of the corresponding h-order harmonic from P to K, i=1, …, N, b i For the intercept, ε i Is a regression residual.
d) C, carrying out linear relation significance test on the N sections of data in the step C and the h-order harmonic voltage content of each section of P and K respectively to obtain corresponding linearity F i ，i＝1，…，N。
wherein ,
is the j-th value in the i-th harmonic data segment of P,/and>
is the jth value in the ith harmonic data segment of K.
e) Select with F i Is increased by lambda with uniform aggregation effect i These lambda' s i Average value of (2)
The real harmonic magnification of the h-th harmonic from P to K is the real harmonic magnification. If the amplification factor is larger than 1, judging that the parallel harmonic resonance frequency exists for h times in the railway traction power supply system. />
In step e, the following F is selected i Is increased by lambda with uniform aggregation effect i The invention provides a specific method for obtaining the real harmonic amplification factor. The following are provided:
calculating an integer M with m% and N (M is 10 in general), and N F are calculated i Sorting from big to small, taking the first M F i Variance Var1 is calculated, and then calculated with N F i The ratio of variance Var2 of (2)
I.e.
If it is
If the number of M lambda is smaller than the threshold delta (delta is M%), then M lambda are determined i The magnification estimation from P to K follows F i Has a consistent aggregation effect. If->
If the value is larger than or equal to the threshold value delta, sequentially taking m-1, m-2, m-3, m-4 and m-5, and repeatedly calculating until the value of +.>
Less than the threshold delta. If the formula +.f cannot be satisfied up to m-5>
If the value is smaller than the threshold value delta, the traction power supply system-regional power grid parallel harmonic resonance frequency cannot be accurately identified by the selected data, and the data need to be selected again. />
Claims (3)
1. A traction power supply system-regional power grid parallel harmonic resonance frequency identification method is characterized by comprising the steps of,
step 1: selecting a time period in which only one locomotive runs, and acquiring a voltage waveform K of any one of A phase, B phase and C phase of any bus of a traction transformer high-voltage side regional power grid with an effective sampling rate greater than r.times.H.times.50 Hz and a voltage waveform P of a locomotive network side high-voltage circuit; wherein H is the highest harmonic frequency to be analyzed, and r is a multiple of the highest harmonic frequency;
step 2: and respectively performing fast Fourier transform on the voltage waveform K and the voltage waveform P to obtain: a square root time series of fundamental wave voltage and harmonic wave voltage of K, and a square root time series of fundamental wave voltage and harmonic wave voltage of P; and then obtain: time series of content of each subharmonic voltage of K
Time series of the content of each subharmonic voltage of P>
Wherein H is the harmonic order, h=2,;
step 3: for any h harmonic, a sliding time window with a window width of L and a sliding step length of L/2 is adopted
and />
Dividing the power supply into N sub-time periods respectively to obtain N corresponding harmonic voltage content rate periods; fitting by using a binary linear regression equation to obtain a relation Y between the h-order harmonic voltage contents of K and P in the harmonic voltage content section i ＝λ i X i +b i +ε i The method comprises the steps of carrying out a first treatment on the surface of the Wherein i is the sequence number of the harmonic voltage content ratio section, i=1, …, N, Y i Is the harmonic of K, X i Is the harmonic of P, lambda i B is the slope of the regression line, namely the harmonic amplification factor of the h harmonic from P to K i For the intercept, ε i Is a regression residual;
step 4: the linearity F is obtained by carrying out the significance test of the linear relation between the content of the h harmonic voltages of K and P in the harmonic voltage content section i i ：
wherein ,
is the j-th value, Y, in the i-th harmonic voltage content section of P i j Is the jth value in the ith harmonic voltage content segment of K;
step 5: select with F i Is increased by lambda with uniform aggregation effect i These lambda's are used for i Average value of (2)
Harmonic amplification from P to K as the h-order harmonic; if the amplification factor is larger than 1, judging that the parallel harmonic resonance frequency of the traction power supply system exists for h times.
2. A traction power supply system-regional power grid parallel harmonic resonance frequency identification method as in claim 1 wherein in step 5, the selection follows F i Is increased by lambda with uniform aggregation effect i The method comprises the following steps:
5.1N F i Ordering from big to small; let m be λ to be selected i The amount of (c) to the percentage of N;
5.2 calculating m% and N, and rounding downwards to obtain M;
5.3 calculating the first M F i Variance Var1 and N F i The ratio of variance Var2 of (2)
I.e.
5.4 if
Less than the threshold value delta, then the selected lambda is determined i With F i Has a consistent aggregation effect; otherwise, let m=m-1 return to step 5.2 for recalculation until +.>
Less than the threshold delta.
3. A traction power supply system-regional power grid parallel harmonic frequency identification method as in claim 2 wherein 5.1 further comprises, letting a threshold delta = m%.
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