CN103487234A - Gas-liquid two-phase flow dynamics representation and identification method based on multi-scale arrangement entropy - Google Patents
Gas-liquid two-phase flow dynamics representation and identification method based on multi-scale arrangement entropy Download PDFInfo
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Abstract
The invention provides a gas-liquid two-phase flow pattern dynamics representation and identification method based on multi-scale arrangement entropy. The method includes the steps of firstly carrying out a gas-liquid two-phase flow pattern experiment with air and water as media to collect three kinds of gas-liquid two-stage different-flow-pattern electrical conductance fluctuation signals, then carrying out coarse graining processing on flow-pattern signal sequences according to a multi-scale concept to obtain coarse graining time sequences, calculating arrangement entropy of the time sequences in different scales, drawing a distribution map of the multi-scale arrangement entropy, analyzing dynamics evolution characteristics of the multi-scale arrangement entropy according to the gas-liquid two-phase different-flow-pattern characteristics, ultimately calculating the multi-scale arrangement entropy rate according to distribution map of the multi-scale arrangement entropy of different flow patterns to obtain distribution of the multi-scale arrangement entropy of all the flow-pattern signals, and accordingly achieving identification and classification of the flow patterns. According to the method, complexity of gas-liquid two-phase flow-pattern signals is disclosed in terms of time sequence themselves. The method has the advantages of being simple and quick in calculation, good in robustness and the like and is especially suitable for real-time processing of the two-phase flow-pattern signals.
Description
Affiliated technical field
The invention belongs to gas-liquid two-phase flow pattern Kinetic Characterization and identification field, thereby specifically utilize multiple dimensioned arrangement entropy method to process Kinetic Characterization and identification that the moving signal of electric guided wave is realized flow pattern of gas-liquid two-phase flow.
Background technology
Biphase gas and liquid flow extensively is present in the industrial process such as chemical industry, nuclear reaction, rock gas and application.Two-phase flow is the Kind of Nonlinear Dynamical System of a complexity, alternately has complicated interface effect and a relative motion.In two-phase flow research, flow pattern is described be the two-phase material distribution with mix, and dynamical property analysis discloses the complicacy of two-phase flow pattern and the Evolution of non-linear mobile system.At present, theoretical model and method for numerical simulation disclose the two phase flow characteristic not yet fully, can survey fluctuation signal from one dimension and extract with the closely-related characteristic quantity of change of flow significant to further understanding two phase flow structural dynamic characteristics and flow parameter detection.
In recent years, the achievement that adopts Study of Nonlinear Analysis two phase flow pattern dynamics to obtain is day by day remarkable, Franca etc. are used for the flow pattern identification to fractal theory, Daw etc. characterize flow pattern of gas-liquid two-phase flow by calculating chaotic attractor dimension and Lyapunov index, Annunziato etc. have carried out identification with use attractor morphology characteristic quantity convections such as Xiao, the two-phase flow fluctuation signal is carried out to phenetic analysis with nonlinear method, to disclosing the tool complicacy, uncertain and the very difficult two phase flow pattern transformation mechanism with the mathematical model accurate description is useful supplementing and exploring.Application Lempel-Ziv complicacy, fluctuation complexity, Power Spectral Entropy and the approximate entropies such as gold Ningde are analyzed the moving signal of the electric guided wave of profit in upward vertical tube and biphase gas and liquid flow, point out Complexity Measurement flow parameter sensitive, can identify preferably flow pattern.But at present the Nonlinear Time Series Analysis algorithm has sensitive dependence to the selection of parameter in sequence length and algorithm, and the result of calculation obtained is only single non-linear sign parameter, aspect reflection flow pattern dynamics details, remaining deficiency.
Summary of the invention
The objective of the invention is the defect existed for background technology, research and develop a kind of gas-liquid two-phase flow pattern Kinetic Characterization and recognition methods based on multiple dimensioned arrangement entropy, feature according to the moving signal of two-phase flow different flow pattern electricity guided wave, in conjunction with signal processing technologies such as multiple dimensioned and arrangement entropys, the dynamics of realizing the different flow patterns of biphase gas and liquid flow characterizes, and the concept that proposes multiple dimensioned arrangement entropy rate is carried out Classification and Identification to different flow patterns.
In order to realize above purpose, the inventive method mainly comprises the following steps:
(1) obtain the moving sample of signal data of electric guided wave of the different flow patterns of biphase gas and liquid flow, specifically: in University Of Tianjin's oil-gas-water three-phase flow laboratory, tested, test medium is air and tap water, first in pipeline, pass into fixing water flow during experiment, then increase gradually gas phase flow rate in pipeline, after often completing air-water two phase flow proportioning, method by range estimation is observed flow pattern of gas-liquid two-phase flow, Deng occurring using after Stable Manifold the vertical multielectrode sensor array measurement system of development voluntarily to carry out the data acquisition of the moving signal of electric guided wave, observe altogether bubble flow in experiment, slug flow, three kinds of flow patterns of bubble flow,
(2) the moving signal of the electric guided wave of the different flow patterns of gas-liquid two-phase step (1) obtained is regarded a period of time sequence as, and the multiple dimensioned time series coarse method convection signal then proposed according to people such as Costa is processed; Specific as follows:
The moving signal of the biphase gas and liquid flow that is N to length electricity guided wave x (i), and i=1,2 ..., N} carries out the coarse processing, and the time series that when yardstick is s, coarse obtains is shown below:
In formula: s is scale factor, y
s(j) be the coarse time series under different scale;
(3) according to arranging the entropy algorithm, the coarse time series of the different scale that step (2) is obtained is carried out entropy calculating, obtains coarse seasonal effect in time series under different scale and arranges entropy; Concrete steps are as follows:
1) the coarse time series under different scale step (2) obtained is carried out phase space reconfiguration, is shown below:
Y
s(t)＝[y
s(t),y
s(t+τ),...,y
s(t+(m-1)τ)] t∈(1,N/s-m+
In formula: m is for embedding dimension, and τ is time delay, Y
s(t) be the reconstruct vector;
2) by vectorial Y
s(t) a m component is arranged by ascending order, that is:
y
s[t+(k
1-1)τ]≤y
s[t+(k
2-1)τ≤…≤y
s[t+(k
m-1)τ]
In formula: 1≤k≤m, k is integer;
If there is y
s[t+ (k
i1-1) τ]=y
s[t+ (k
i2-1) τ] situation by k value size, sorted, work as k
i1<k
i2the time, y
s[t+ (k
i1-1) τ]≤y
s[t+ (k
i2-1) τ], the vectorial Y of each in phase space like this
s(t) can obtain one group of arrangement: π
t=[k
1, k
2..., k
m], for the total m! of the phase space that embeds the m dimension Plant and arrange possibility;
3) add up the times N of the appearance of l kind arrangement
l, wherein 1≤l≤m! , the probability of the appearance that the l kind is arranged is shown below:
In formula:
for coarse sequence length under yardstick s, be defined under yardstick s seasonal effect in time series and arrange entropy and be:
especially, work as p
s(l)=1/m! The time, H
s(p) get maximal value lnm! .
(4) calculate the entropy of three kinds of moving signals of flow patterns electricity guided waves according to the multiple dimensioned arrangement entropy method of step (2) and step (3) elaboration, draw the multiple dimensioned arrangement entropy distribution plan of different flow patterns, in conjunction with its dynamics variation of the mobile signature analysis of gas-liquid two-phase;
(5) take multiple dimensioned arrangement entropy distribution plan that step (4) obtains for basic, consider the difference of the multiple dimensioned arrangement Entropy Changes of the front several yardsticks of different flow pattern signals, calculate the multiple dimensioned arrangement entropy rate of different flow pattern signals, realize the recognition and classification of gas-liquid two-phase flow pattern.
The present invention compares with existing two-phase flow research method, has following characteristics:
Arrange the entropy algorithm and realize the better sign to the system complex degree by each vectorial arrangement regulation in the statistics phase space, this algorithm has better robustness, and is easy to fast realize.Can on different scale, disclose the Dynamic complexity of bubble flow, slug flow and mixed shape stream in conjunction with the arrangement entropy algorithm of Multiscale Theory.The variation tendency of the uniqueness that the multi-scale entropy curve of different flow patterns shows under different scale has also reflected the difference between the Dynamic complexity of each flow pattern from details, further proved the superiority that multi-scale entropy has when the Analysis of Complex time series, be that it can reflect its dynamic characteristic on the whole, can disclose its evolution Feature from details again.On the different variation tendencies basis shown in the biphase gas and liquid flow multi-scale entropy, proposed the multi-scale entropy rate, and can distinguish preferably three kinds of typical flow patterns, for flow pattern of gas-liquid two-phase flow in upward vertical tube provides a kind of new identification criterion.
The accompanying drawing explanation
Fig. 1 is implementing procedure figure of the present invention.
Fig. 2 is that the water flow is 6m
3the moving signal of the electric guided wave of three kinds of flow patterns that during/h, experiment gathers.
The multiple dimensioned arrangement entropy distribution plan that Fig. 3 is the lower three kinds of flow patterns of different operating modes.
Fig. 4 is that aqueous phase stream measures 2,4,6,8m
3during/h, the multiple dimensioned arrangement entropy distribution plan of three kinds of flow patterns.
Fig. 5 is the flow pattern identification figure based on multiple dimensioned arrangement entropy rate.
Embodiment
Below in conjunction with accompanying drawing, the specific embodiment of the present invention is elaborated.As shown in Figure 1, the present embodiment comprises the following steps:
(1) obtain the moving signal of electric guided wave of the different flow patterns of biphase gas and liquid flow, specifically:
In upward vertical tube is carried out in University Of Tianjin's multiphase flow experiment chamber, air-water two phase flow is dynamically tested, and whole measuring system is comprised of plug-in type electromagnetic derivative sensor, exiting signal generating circuit, signal condition module, data acquisition equipment, several parts of measurement data analysis software.The constant voltage sinusoidal signal that the measuring system proportion is 20kHz is encouraged, and the driving voltage effective value is 1V.The signal condition module mainly consists of differential amplification, phase demodulation and 3 parts of low-pass filtering.The PXI4472 data collecting card of American National instrument company is selected in data acquisition, has 8 passages, and has the function of synchronous acquisition.Data processing section, by realizing with the supporting graphical programming language LABVIEW of data collecting card, can complete the functions such as real-time waveform demonstration, real-time storage data.
Test medium is air and tap water, first in pipeline, pass into fixing water flow during experiment, then increase gradually gas phase flow rate in pipeline, after often completing air-water two phase flow proportioning, method by range estimation is observed flow pattern of gas-liquid two-phase flow, waits and occurs recording the fluctuation signal that conductivity sensor is exported after Stable Manifold.The aqueous phase stream weight range of this experiment is 1-12m
3/ h, the gas phase flow rate scope is 0.5-100m
3/ h.Conductance signal sample frequency 400Hz, every kind of flox condition records 50s, gathers altogether 20000 data points.Experiment has gathered the measurement data of 66 kinds of air-water two phase flow flox conditions altogether, observes altogether bubble flow (Bubble), slug flow (Slug), mixed shape stream (Churn) three kinds of flow patterns, and being illustrated in figure 2 the water flow is 6m
3during/h, the moving signal of the typical electrical guided wave of different flow patterns under three kinds of gas phase flow rates.
(2) introduce Multiscale Theory, the flow pattern signal that step (1) is gathered carries out the coarse processing, obtains the coarse time series of different scale.
The moving signal of the electric guided wave of the different flow patterns of 66 kinds of biphase gas and liquid flows is carried out to coarse, and selected data length is N=8000, and scale factor is s=40.Every group of data are regarded as x (i), i=1,2 ..., N} carries out the coarse processing, and the time series that coarse obtains is shown below:
In formula: s is scale factor, y
s(j) be the coarse time series under different scale.
(3) according to arranging the entropy algorithm, the coarse time series of the different scale that step 2 is obtained is carried out entropy calculating, obtains coarse seasonal effect in time series under different scale and arranges entropy.Concrete steps are as follows:
At first, the coarse time series under the different scale that step (2) is obtained is carried out phase space reconfiguration, is shown below:
Y
s(t)＝[y
s(t),y
s(t+τ),...,y
s(t+(m-1)τ)] t∈(1,N/s-m+
In formula: m is for embedding dimension, and τ is time delay, Y
s(t) be the reconstruct vector, choosing in this implementation process embeds dimension m=5, delay time T=1.
Then, by vectorial Y
s(t) a m component is arranged by ascending order, that is:
y
s[t+(k
1-1)τ]≤y
s[t+(k
2-1)τ≤…≤y
s[t+(k
m-1)τ]
In formula: 1≤k≤m, k is integer;
If there is y
s[t+ (k
i1-1) τ]=y
s[t+ (k
i2-1) τ] situation by k value size, sorted, work as k
i1<k
i2the time, y
s[t+ (k
i1-1) τ]≤y
s[t+ (k
i2-1) τ], the vectorial Y of each in phase space like this
s(t) can obtain one group of arrangement: π
t=[k
1, k
2..., k
m], have 120 kinds for the phase space that embeds dimension m=5 and arrange possibility;
Finally, add up the times N of the appearance of l kind arrangement
l, 1≤l≤120 wherein, the probability of the appearance that the l kind is arranged is shown below:
In formula:
for coarse sequence length under yardstick s, in this example
being defined in seasonal effect in time series arrangement entropy under yardstick s is:
(4) the multiple dimensioned arrangement entropy method of setting forth according to step (2) and step (3) is calculated the entropy of three kinds of moving signals of flow patterns electricity guided waves, draws the multiple dimensioned arrangement entropy distribution plan of different flow patterns, is respectively that the water flow is 2,4,6,8m as shown in Figure 4
3during/h, the multiple dimensioned arrangement entropy distribution plan of three kinds of flow patterns, finally change in conjunction with mobile its dynamics of signature analysis of gas-liquid two-phase.
Claims (4)
1. gas-liquid two-phase flow pattern Kinetic Characterization and the recognition methods based on multiple dimensioned arrangement entropy mainly comprises step:
(1) obtain the moving sample of signal data of electric guided wave of the different flow patterns of biphase gas and liquid flow, specifically: in University Of Tianjin's oil-gas-water three-phase flow laboratory, tested, test medium is air and tap water, first in pipeline, pass into fixing water flow during experiment, then increase gradually gas phase flow rate in pipeline, after often completing air-water two phase flow proportioning, method by range estimation is observed flow pattern of gas-liquid two-phase flow, Deng occurring using after Stable Manifold the vertical multielectrode sensor array measurement system of development voluntarily to carry out the data acquisition of the moving signal of electric guided wave, observe altogether bubble flow in experiment, slug flow, three kinds of flow patterns of bubble flow,
(2) the moving signal of the electric guided wave of the different flow patterns of gas-liquid two-phase step (1) obtained is regarded a period of time sequence as, and the multiple dimensioned time series coarse method convection signal then proposed according to people such as Costa is processed; Specific as follows:
The moving signal of the biphase gas and liquid flow that is N to length electricity guided wave x (i), and i=1,2 ..., N} carries out the coarse processing, and the time series that when yardstick is s, coarse obtains is shown below:
In formula: s is scale factor, y
s(j) be the coarse time series under different scale;
(3) according to arranging the entropy algorithm, the coarse time series of the different scale that step (2) is obtained is carried out entropy calculating, obtains coarse seasonal effect in time series under different scale and arranges entropy; Concrete steps are as follows:
1) the coarse time series under different scale step (2) obtained is carried out phase space reconfiguration, is shown below:
Y
s(t)＝[y
s(t),y
s(t+τ),...,y
s(t+(m-1)τ)] t∈(1,N/s-m+
In formula: m is for embedding dimension, and τ is time delay, Y
s(t) be the reconstruct vector;
2) by vectorial Y
s(t) a m component is arranged by ascending order, that is:
y
s[t+(k
1-1)τ]≤y
s[t+(k
2-1)τ≤…≤y
s[t+(k
m-1)τ]
In formula: 1≤k≤m, k is integer;
If there is y
s[t+ (k
i1-1) τ]=y
s[t+ (k
i2-1) τ] situation by k value size, sorted, work as k
i1<k
i2the time, y
s[t+ (k
i1-1) τ]≤y
s[t+ (k
i2-1) τ], the vectorial Y of each in phase space like this
s(t) can obtain one group of arrangement: π
t=[k
1, k
2..., k
m], for the total m! of the phase space that embeds the m dimension Plant and arrange possibility;
3) add up the times N of the appearance of l kind arrangement
l, wherein 1≤l≤m! , the probability of the appearance that the l kind is arranged is shown below:
In formula:
for coarse sequence length under yardstick s, be defined under yardstick s seasonal effect in time series and arrange entropy and be:
(4) calculate the entropy of three kinds of moving signals of flow patterns electricity guided waves according to the multiple dimensioned arrangement entropy method of step (2) and step (3) elaboration, draw the multiple dimensioned arrangement entropy distribution plan of different flow patterns, in conjunction with its dynamics variation of the mobile signature analysis of gas-liquid two-phase;
(5) take multiple dimensioned arrangement entropy distribution plan that step (4) obtains for basic, consider the difference of the multiple dimensioned arrangement Entropy Changes of the front several yardsticks of different flow pattern signals, calculate the multiple dimensioned arrangement entropy rate of different flow pattern signals, realize the recognition and classification of gas-liquid two-phase flow pattern.
2. according to gas-liquid two-phase flow pattern Kinetic Characterization and the recognition methods thereof based on multiple dimensioned arrangement entropy claimed in claim 1; the moving signal of electric guided wave that it is characterized in that three kinds of flow patterns obtaining in step (1) has 66 groups; the sequence length N=8000 of every group of signal, while carrying out the coarse processing in step (2), selected yardstick is s=40.
3. according to gas-liquid two-phase flow pattern Kinetic Characterization and the recognition methods thereof based on multiple dimensioned arrangement entropy claimed in claim 1, while it is characterized in that the middle calculated permutations entropy of step (3), according to the people's such as Bandt suggestion, selected embedding dimension m and delay time T are m=5 and τ=1.
4. according to gas-liquid two-phase flow pattern Kinetic Characterization and the recognition methods thereof based on multiple dimensioned arrangement entropy claimed in claim 1, while it is characterized in that in step (5) calculating multiple dimensioned arrangement entropy rate, select the arrangement entropy of the first five yardstick to carry out linearization and calculate its slope.
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Cited By (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106247917A (en) * | 2016-07-12 | 2016-12-21 | 清华大学 | Horizontal flow pattern of gas-liquid two-phase flow quantitatively judges method and device |
| CN106768849A (en) * | 2017-02-16 | 2017-05-31 | 常州大学 | Conduit bubble flow modified aerator |
| WO2017166258A1 (en) * | 2016-04-01 | 2017-10-05 | 深圳市樊溪电子有限公司 | Method for metering flow rate of two phases of gas and liquid in wet natural gas |
| CN107907105A (en) * | 2017-10-26 | 2018-04-13 | 天津大学 | A kind of measuring method for organic Rankine bottoming cycle organic working medium gas-liquid two-phase flow pattern |
| CN107992112A (en) * | 2017-12-06 | 2018-05-04 | 浙江理工大学 | A kind of control loop performance estimating method and system based on arrangement entropy |
| CN109528187A (en) * | 2018-11-06 | 2019-03-29 | 河海大学常州校区 | A kind of multiple dimensioned increment entropy algorithm for time series complexity evaluations |
| CN109948567A (en) * | 2019-03-26 | 2019-06-28 | 大连理工大学 | A kind of long distance water transfer system Method for Discriminating Gas-liquid Two Phase Flow based on graph theory |
| CN110111326A (en) * | 2019-05-15 | 2019-08-09 | 西安科技大学 | Reconstructed image quality evaluation method based on ERT system |
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| WO2017166258A1 (en) * | 2016-04-01 | 2017-10-05 | 深圳市樊溪电子有限公司 | Method for metering flow rate of two phases of gas and liquid in wet natural gas |
| CN106247917A (en) * | 2016-07-12 | 2016-12-21 | 清华大学 | Horizontal flow pattern of gas-liquid two-phase flow quantitatively judges method and device |
| CN106247917B (en) * | 2016-07-12 | 2018-10-02 | 清华大学 | Horizontal flow pattern of gas-liquid two-phase flow quantitatively judges method and device |
| CN106768849A (en) * | 2017-02-16 | 2017-05-31 | 常州大学 | Conduit bubble flow modified aerator |
| CN107907105A (en) * | 2017-10-26 | 2018-04-13 | 天津大学 | A kind of measuring method for organic Rankine bottoming cycle organic working medium gas-liquid two-phase flow pattern |
| CN107992112A (en) * | 2017-12-06 | 2018-05-04 | 浙江理工大学 | A kind of control loop performance estimating method and system based on arrangement entropy |
| CN109528187A (en) * | 2018-11-06 | 2019-03-29 | 河海大学常州校区 | A kind of multiple dimensioned increment entropy algorithm for time series complexity evaluations |
| CN109948567A (en) * | 2019-03-26 | 2019-06-28 | 大连理工大学 | A kind of long distance water transfer system Method for Discriminating Gas-liquid Two Phase Flow based on graph theory |
| CN109948567B (en) * | 2019-03-26 | 2022-02-15 | 大连理工大学 | Graph theory-based gas-liquid two-phase flow pattern identification method for long-distance water delivery system |
| CN110111326A (en) * | 2019-05-15 | 2019-08-09 | 西安科技大学 | Reconstructed image quality evaluation method based on ERT system |
| CN110111326B (en) * | 2019-05-15 | 2021-01-15 | 西安科技大学 | Reconstructed image quality evaluation method based on ERT system |
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