CN103023023B - Comprehensive evaluation method based on multi-stress for electric energy quality of monitoring points of electrified railway - Google Patents
Comprehensive evaluation method based on multi-stress for electric energy quality of monitoring points of electrified railway Download PDFInfo
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- CN103023023B CN103023023B CN201210494758.6A CN201210494758A CN103023023B CN 103023023 B CN103023023 B CN 103023023B CN 201210494758 A CN201210494758 A CN 201210494758A CN 103023023 B CN103023023 B CN 103023023B
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Abstract
The invention discloses a comprehensive evaluation method based on multi-stress for the electric energy quality of monitoring points of an electrified railway. The comprehensive evaluation method is characterized by comprising the following steps of: firstly establishing a single electric energy quality index description system and an electric energy quality multi-stress description system; and then calculating the score of electric energy quality multi-stress of each monitoring point, sorting the electric energy quality of each monitoring point according to the size of the synthesis score of the electric energy quality of each monitoring point by taking a variance contribution rate of each electric energy quality multi-stress as a weight for calculating a synthesis score of the electric energy quality of the monitoring points, simultaneously, classifying all the monitoring points by adopting a fuzzy C mean value clustering method according to the need of sorting management, and carrying out category classification on the monitoring points. According to the comprehensive evaluation method, the overall sorting and clustering of the electric energy quality condition of the monitoring points of the electrified railway are realized, and references and basis are provided for the unified management and deep planning management of electric energy quality.
Description
Technical field
The present invention relates to a kind of quality of power supply overall assessment method, the quality of power supply situation for overall merit electric railway monitoring point, belongs to electric power quality field.
Background technology
In recent years, China's electric railway development is very rapid.Be planned for the year two thousand twenty, china railway revenue kilometres reach more than 120,000 kilometers, and electrization rate will reach more than 60%, and railway construction enters peak time with fastest developing speed on Chinese history.
Along with developing rapidly of electric railway, its pollution to electric power quality becomes a problem can not be ignored.Meanwhile, in electrical network, increasing Novel load is more and more higher again to the requirement of the electrical network quality of power supply, make that the development of electric railway must be common with electric power system and vast electric load, harmonious and sustainable development.The overall merit of electrified railway electric energy quality provides safeguard the harmonious development for electric railway and electrical network.
China's attached wires of AC electrified railway is mainly by electric power system 110kV(or 220kV) through traction transformer step-down, be 27.5kV(or 55kV) backward traction net and electric locomotive single phase power supply, asymmetric due on electric railway power structure, will return to a large amount of negative-sequence currents of network system.Not only there is negative phase-sequence impact to electrical network in electric railway, humorous wave interference also can not be ignored.The electric locomotive of China's operation, a part is hand over-straight electric locomotive, by transformer pressure-reducing, DC traction motor is supplied with in rectification, and a part of electric locomotive adopts AC-DC-AC EMU, front and back end current transformer is PWM modulation, although the content of low-order harmonic significantly reduces, due to the raising of locomotive power, the absolute value of low-order harmonic is still very considerable, and AC-DC-AC locomotive harmonic spectrum scope increases, the resonance that has strengthened system high order harmonic component threatens.Meanwhile, with its weight, circuit ramp, traction or braking difference, acute variation also will cause certain voltage fluctuation and flickering to the locomotive load of electric railway.
As far back as the nineties in last century, the IEC(International Electro-technical Commission of International Electrotechnical Commission) and the IEEE(Institute ofElectrical and Electronics of IEEE), European electrotechnics standard formulation mechanism and a lot of country all set up the recommendation guide rule of the continuous type qualities of power supply such as harmonic voltage, distortion current and voltage fluctuation.China in succession formulates or has revised seven national standards of the quality of power supply from nineteen ninety, comprises harmonic wave, temporary overvoltage and transient overvoltage, power system frequency deviation, voltage fluctuation and flickering, supply power voltage deviation, imbalance of three-phase voltage, a harmonic wave.Describe quality of power supply status index both at home and abroad, not only include the index (as harmonic wave index, short circuit ratio, fundamental power) of reflection traction load situation, also have the index (as voltage flicker, frequency) that relates to traction load access point voltage condition.But each individual event power quality index is just for single or the proposition of the part quality of power supply, and the correlation between each individual event power quality index is very high, can be because there is synteny between index while comprehensively analyzing, and the complexity of increase case study, be not easy to the quality of power supply situation of monitoring point to carry out the further investigations such as integrate score evaluation and cluster analysis
Summary of the invention
The present invention is for avoiding the existing weak point of above-mentioned prior art, a kind of electric railway monitoring point quality of power supply overall assessment method based on multi-stress is provided, with realization, to the quality of power supply situation of electric railway monitoring point is overall, sort and cluster, for the unified management of the quality of power supply provides reference and foundation with deeply planning to administer.
The present invention is that technical solution problem adopts following technical scheme:
The feature that the present invention is based on the electric railway monitoring point quality of power supply overall assessment method of multi-stress is to carry out as follows:
A, set up individual event power quality index description system and quality of power supply multi-stress description system;
B, calculate the quality of power supply multi-stress score of each monitoring point, and using the variance contribution ratio of each quality of power supply multi-stress as the quality of power supply integrate score of weight calculation monitoring point, size with each monitoring point quality of power supply integrate score sorts to the quality of power supply of each monitoring point, simultaneously, according to the needs of Classification Management, adopt fuzzy C-means clustering to be classified in all monitoring points, classified description is carried out in monitoring point.
The feature that the present invention is based on the electric railway monitoring point quality of power supply overall assessment method of multi-stress is also:
In described step a, set up individual event power quality index description system and quality of power supply multi-stress description system carries out as follows:
(1), take relevant criterion as basis, set up individual event quality of power supply description system x, x=[x
1, x
2..., x
p], x wherein
1, x
2..., x
pfor each individual event quality of power supply, describe, described each individual event quality of power supply comprises:
Short circuit ratio R ' reciprocal
sce, R '
sce=S
equ/ S
scin formula, S
equfor place capacity, S
scfor place, monitoring point capacity of short circuit;
Harmonic wave index, comprises the total percent harmonic distortion THD of the electric current adopting in GB GB/T 14549-93
iwith the total percent harmonic distortion THD of voltage
u; The definition harmonic current multiple average percentage H that transfinites
i-emafor:
in formula, h is harmonic number, I
hfor the h subharmonic current value of load permission injection monitoring point, monitoring point, I '
hbe h subharmonic current monitor value, get a phase of harmonic content maximum, H
i-emaget the large value of 95% probability that in monitoring time section, load and calculate while surpassing set point in monitoring point; Define harmonic voltage containing rate M between maximum power frequency
iHRu50Hz and above maximum containing ratio to harmonic voltage containing rate between below 800Hz while surpassing set point for monitoring point load in monitoring time section; Harmonic voltage containing rate M between definition maximum low frequency
l-IHRuwhile surpassing set point for monitoring point load in monitoring period of time 50Hz following between maximum containing ratio in harmonic voltage containing rate;
Voltage negative phase-sequence degree of unbalance ε
u2be taken as the voltage negative phase-sequence degree of unbalance of using in GB GB/T 15543-2008;
Voltage fluctuation d and long-time flickering P
ltby value in GB GB/T 12326-2008;
Frequency departure f
dthe large value of 99% probability of frequency absolute value of the bias while being taken as the interior monitoring point of monitoring time section load over set point;
Total phasor power factor average DF
av,
in formula, n is population of measured values, DF
itotal phasor power factor monitor value while loading over set point for monitoring point in monitoring time section;
Voltage deviation average V
da,
in formula, n is voltage monitoring value number, U
ithe minimum monitor value of the phase voltage of monitoring point while loading over set point for monitoring point in monitoring time section, U
aVPfor average amount phasing voltage, the average amount phasing voltage of 110kV electric pressure is taken as
the average amount phasing voltage of 220kV electric pressure is taken as
(2), definition quality of power supply multi-stress description system F=[F
i, F
u, F
lu], wherein:
F
ifor comprehensive current factor, described comprehensive current factor F
icharacterize the total percent harmonic distortion THD of electric current
i, voltage negative phase-sequence degree of unbalance ε
u2, voltage fluctuation d, total phasor power factor average DF
av, short circuit ratio R ' reciprocal
scewith the harmonic current multiple average percentage H that transfinites
i-emaeach individual event power quality index;
F
ufor the integrated voltage power frequency factor, described integrated voltage power frequency factor F
ucharacterize the total percent harmonic distortion THD of voltage
u, harmonic voltage containing rate M between maximum power frequency
iHRuwith frequency departure f
deach individual event power quality index;
F
lufor the integrated voltage low frequency factor, described integrated voltage low frequency factor F
lucharacterize long-time flickering P
lt, harmonic voltage containing rate M between maximum low frequency
l-IHRuwith voltage deviation average V
daeach individual event power quality index.
Described step b is performed as follows:
(1), set up factor model X=AF+ ε, X=[X in formula
1, X
2..., X
p], X wherein
1, X
2..., X
pfor corresponding individual event quality of power supply description system x
1, x
2..., x
pstandardized variable, F=[F
i, F
u, F
lu] be quality of power supply multi-stress description system, A is factor loading matrix, its matrix value a
ijbe that i the individual event quality of power supply is described the load of variable on j quality of power supply multi-stress, ε is specific factor, represents the part that original variable can not be explained by factor variable;
By factor score function F S
j=β
j1x
1+ ... + β
jpx
p, adopt the method for estimation of the Return Law, Charles Bartlett method or Anderson-Rubin method to calculate each monitoring point quality of power supply multi-stress score, FS
j=[FS
i, FS
u, FS
lu], FS wherein
ifor comprehensive current factor score, FS
ufor the factor score of integrated voltage power frequency, FS
lufor the factor score of integrated voltage low frequency;
(2), with the variance contribution S of comprehensive current factor, the integrated voltage power frequency factor and the integrated voltage low frequency factor
jfor weight,
in conjunction with monitoring point each quality of power supply multi-stress score FS
jcalculate the quality of power supply integrate score FS of each monitoring point,
According to integrate score size, the quality of power supply of each monitoring point is sorted, the quality of power supply situation of the higher monitoring point of score is poorer, meanwhile, according to the needs of Classification Management, all monitoring points is divided into c class, adopt Fuzzy C-Means Cluster Algorithm, set up target function expression formula:
n monitoring point is divided into c ambiguity group, and in formula, U is fuzzy membership collection, wherein
..., n, u
ijbetween 0～1, c
ifor the cluster centre of fuzzy clustering group i, d
ij=|| c
i-x
j|| be i cluster centre and j monitoring point integrate score x
jbetween Euclidean distance, m is Weighted Index, is defaulted as 2, iteration starts with an original hypothesis cluster centre, by iteration average, progressively adjusts, and makes target function be tending towards convergence, realizes all monitoring points classified description.
Compared with the prior art, beneficial effect of the present invention is embodied in:
The present invention on to the basis of a large amount of statistics analysis of the inspected datas and factorial analysis, sets up individual event power quality index and describes and quality of power supply multi-stress description system.Utilize factorial analysis from the higher individual event power quality index of a plurality of correlations, to extract potential, incoherent comprehensive current factor, the integrated voltage power frequency factor and the integrated voltage low frequency factor.Based on quality of power supply multi-stress score, the variance contribution of each quality of power supply multi-stress of take is weight, and its quality of power supply integrate score is calculated in each monitoring point, realizes all monitoring points rank, and uses fuzzy C-means clustering to all monitoring points classified description.
The present invention is through the application in the province's network electric energy quality management actual, achieve noticeable achievement, for the quality of power supply overall assessment of electric railway monitoring point and classification provide effective method and brand-new means, realization obtains consistent evaluation result that can reference on identical platform, for the unified management of the quality of power supply and deeply planning administer reference and foundation be provided.
Accompanying drawing explanation
Fig. 1 is the inventive method flow chart.
Embodiment
Electric railway monitoring point quality of power supply overall assessment method based on multi-stress in the present embodiment is to carry out according to the following procedure:
One, set up as follows individual event power quality index description system and quality of power supply multi-stress description system;
1, take relevant criterion as basis, set up individual event quality of power supply description system x, x=[x
1, x
2..., x
p], x wherein
1, x
2..., x
pfor each individual event quality of power supply, describe, described each individual event quality of power supply comprises:
Short circuit ratio R ' reciprocal
sce, R '
sce=S
equ/ S
scin formula, S
equfor place capacity, S
scfor place, monitoring point capacity of short circuit;
Harmonic wave index, comprises the total percent harmonic distortion THD of the electric current adopting in GB GB/T 14549-93
iwith the total percent harmonic distortion THD of voltage
u; The definition harmonic current multiple average percentage H that transfinites
i-emafor:
in formula, h is harmonic number, I
hfor the h subharmonic current value of load permission injection monitoring point, monitoring point, I '
hbe h subharmonic current monitor value, get a phase of harmonic content maximum, H
i-emaget the large value of 95% probability that in monitoring time section, load and calculate while surpassing set point in monitoring point; Define harmonic voltage containing rate M between maximum power frequency
iHRu50Hz and above maximum containing ratio to harmonic voltage containing rate between below 800Hz while surpassing set point for monitoring point load in monitoring time section; Harmonic voltage containing rate M between definition maximum low frequency
l-IHRuwhile surpassing set point for monitoring point load in monitoring period of time 50Hz following between maximum containing ratio in harmonic voltage containing rate;
Voltage negative phase-sequence degree of unbalance ε
u2be taken as the voltage negative phase-sequence degree of unbalance of using in GB GB/T 15543-2008;
Voltage fluctuation d and long-time flickering P
ltby value in GB GB/T 12326-2008;
Frequency departure f
dthe large value of 99% probability of frequency absolute value of the bias while being taken as the interior monitoring point of monitoring time section load over set point;
Total phasor power factor average DF
av,
in formula, n is population of measured values, DF
itotal phasor power factor monitor value while loading over set point for monitoring point in monitoring time section;
Voltage deviation average V
da,
in formula, n is voltage monitoring value number, U
ithe minimum monitor value of the phase voltage of monitoring point while loading over set point for monitoring point in monitoring time section, U
aVPfor average amount phasing voltage, the average amount phasing voltage of 110kV electric pressure is taken as
the average amount phasing voltage of 220kV electric pressure is taken as
2, definition quality of power supply multi-stress description system F=[F
i, F
u, F
lu], wherein:
F
ifor comprehensive current factor, described comprehensive current factor F
icharacterize the total percent harmonic distortion THD of electric current
i, voltage negative phase-sequence degree of unbalance ε
u2, voltage fluctuation d, total phasor power factor average DF
av, short circuit ratio R ' reciprocal
scewith the harmonic current multiple average percentage H that transfinites
i-emaeach individual event power quality index;
F
ufor the integrated voltage power frequency factor, described integrated voltage power frequency factor F
ucharacterize the total percent harmonic distortion THD of voltage
u, harmonic voltage containing rate M between maximum power frequency
iHRuwith frequency departure f
deach individual event power quality index;
F
lufor the integrated voltage low frequency factor, described integrated voltage low frequency factor F
lucharacterize long-time flickering P
lt, harmonic voltage containing rate M between maximum low frequency
l-IHRuwith voltage deviation average V
daeach individual event power quality index.
Two, calculate the quality of power supply multi-stress score of each monitoring point, and using the variance contribution ratio of each quality of power supply multi-stress as the quality of power supply integrate score of weight calculation monitoring point, size with each monitoring point quality of power supply integrate score sorts to the quality of power supply of each monitoring point, simultaneously, according to the needs of Classification Management, adopt fuzzy C-means clustering to be classified in all monitoring points, classified description is carried out in monitoring point, process is as follows:
1, set up factor model X=AF+ ε, X=[X in formula
1, X
2..., X
p], X wherein
1, X
2..., X
pfor corresponding individual event quality of power supply description system x
1, x
2..., x
pstandardized variable, F=[F
i, F
u, F
lu] be quality of power supply multi-stress description system, A is factor loading matrix, its matrix value a
ijbe that i the individual event quality of power supply is described the load of variable on j quality of power supply multi-stress, ε is specific factor, represents the part that original variable can not be explained by factor variable;
By factor score function F S
j=β
j1x
1+ ... + β
jpx
p, adopt the method for estimation of the Return Law, Charles Bartlett method or Anderson-Rubin method to calculate each monitoring point quality of power supply multi-stress score, FS
i=[FS
i, FS
u, FS
lu], FS wherein
ifor comprehensive current factor score, FS
ufor the factor score of integrated voltage power frequency, FS
lufor the factor score of integrated voltage low frequency;
2, with the variance contribution S of comprehensive current factor, the integrated voltage power frequency factor and the integrated voltage low frequency factor
jfor weight,
in conjunction with monitoring point each quality of power supply multi-stress score FS
jcalculate the quality of power supply integrate score FS of each monitoring point,
According to integrate score size, the quality of power supply of each monitoring point is sorted, the quality of power supply situation of the higher monitoring point of score is poorer, meanwhile, according to the needs of Classification Management, all monitoring points is divided into c class, adopt Fuzzy C-Means Cluster Algorithm, set up target function expression formula:
n monitoring point is divided into c ambiguity group, and in formula, U is fuzzy membership collection, wherein
..., n, u
ijbetween 0～1, c
ifor the cluster centre of fuzzy clustering group i, d
ij=|| c
i-x
j|| be the Euclidean distance between i cluster centre and j monitoring point integrate score xj, m is Weighted Index, is defaulted as 2, iteration starts with an original hypothesis cluster centre, by iteration average, progressively adjust, make target function be tending towards convergence, realize all monitoring points classified description.
The present embodiment is by using the electric railway monitoring point quality of power supply overall assessment method based on multi-stress to carry out overall assessment and cluster analysis to the electric railway monitoring point under certain province net company.
One, set up individual event power quality index description system and quality of power supply multi-stress description system
1, set up individual event power quality index description system x, x=[x
1, x
2..., x
p], x wherein
1, x
2..., x
pfor each individual event quality of power supply is described, take relevant national standard, the IEC of International Electrotechnical Commission, the IEEE of IEEE-USA is basis, in conjunction with the quality of power supply acquisition terminal performance of certain existing electric railway monitoring system of province net company, the individual event quality of power supply description system of setting up applicable certain province net company comprises ten individual event qualities of power supply and describes x=[x
1, x
2..., x
10], each individual event quality of power supply is described and is comprised:
A, short circuit ratio R ' reciprocal
sce
R '
sce=S
equ/ S
scin formula, S
equfor place capacity, S
scfor place, monitoring point capacity of short circuit (getting normal minimum value);
B, harmonic wave index
B1, the total percent harmonic distortion THD of electric current
i
The total percent harmonic distortion of electric current, calculates by GB < < quality of power supply utility network harmonic wave > > GB/T14549-93,
i in formula
hbe h subharmonic current root mean square value, I
1for fundamental current root mean square value, the quality of power supply on-line monitoring terminal capabilities that the harmonic number of measurement is installed by monitoring point determines.
B2, the total percent harmonic distortion THD of voltage
u
The total percent harmonic distortion of voltage, calculates by GB < < quality of power supply utility network harmonic wave > > GB/T14549-93,
u in formula
hbe h subharmonic current root mean square value, U
1for fundamental current root mean square value, consider the present situation that in certain province net company's electrical network, voltage transformer significantly increases the frequency response error of high order harmonic component, only calculate the aberration rate of 2～10 subharmonic, statistical value is
B3, the harmonic current multiple average percentage H that transfinites
i-ema
The definition harmonic current multiple average percentage H that transfinites
i-ema,
in formula, h is harmonic number, with reference to the harmonic characterisitic of electric railway in reality, considers certain province net company's actual monitoring device-restrictive, calculates harmonic number and gets 2～13 subharmonic, n=12, H
i-emaget in monitoring time section when monitoring point load surpasses set point the large value of 95% probability that (5% that set point is rated load) calculates, I
hfor the h subharmonic current value of load permission injection monitoring point, monitoring point, I '
hbe h subharmonic current monitor value, get a phase of harmonic content maximum.
Because the quality of power supply acquisition terminal major part of certain existing electric railway monitoring system of province net company not yet adds a harmonic wave index, in embodiment, do not consider between maximum power frequency harmonic voltage containing rate between harmonic voltage containing rate and maximum low frequency.
C, voltage negative phase-sequence degree of unbalance ε
u2
Voltage negative phase-sequence degree of unbalance ε
u2, by calculating in GB < < quality of power supply imbalance of three-phase voltage degree > > GB/T15543-2008,
u in formula
1for the positive sequence fundametal compoment root mean square value of three-phase voltage, U
2negative phase-sequence fundametal compoment root mean square value for three-phase voltage.
D, voltage fluctuation and long-time flickering
Voltage fluctuation and long-time flickering are by value in GB < < quality of power supply voltage fluctuation and flickering > > GB/T12326-2008.
D1, voltage fluctuation d
Voltage fluctuation statistical value calculates by GB GB/T12326-2008,
u in formula
maxand U
minthe poor of adjacent two extreme values of voltage root mean square value, U
nit is nominal voltage of a system.
D2, long-time flickering P
lt
Long-time flickering statistical value calculates by GB GB/T12326-2008.
E, frequency departure f
d
Frequency departure f
dbe taken as in monitoring time section when monitoring point load surpasses set point the large value of 99% probability of (5% that set point is rated load) frequency departure absolute value.
F, total phasor power factor average DF
av
Definition
in formula, n is population of measured values, DF
i(5% that set point is rated load) total phasor power factor monitor value while surpassing set point for monitoring point load in monitoring time section.
G, voltage deviation average V
da
Definition voltage deviation average V
da,
in formula, n is voltage monitoring value number, U
ithe minimum monitor value of phase voltage of (5% that set point is rated load) monitoring point while surpassing set point for monitoring point load in monitoring time section, U
aVPfor average amount phasing voltage, the average amount phasing voltage of 110kV electric pressure is taken as
the average amount phasing voltage of 220kV electric pressure is taken as
2, set up quality of power supply multi-stress description system F=[F
i, F
u, F
lu]
On the Historical Monitoring data basis a large amount of to electric railway monitoring point, based on factorial analysis, set up quality of power supply multi-stress description system F=[F
i, F
u, F
lu], define comprehensive current factor F
i, integrated voltage power frequency factor F
uwith integrated voltage low frequency factor F
lu.
In conjunction with the actual conditions of certain province net company electric railway monitoring point electric energy quality monitoring terminal, F
icharacterize the total percent harmonic distortion THD of electric current
i, voltage negative phase-sequence degree of unbalance ε
u2, voltage fluctuation d, total phasor power factor average DF
av, short circuit ratio R ' reciprocal
scewith the harmonic current multiple average percentage H that transfinites
i-emaeach individual event power quality index, embodies the impact of electric railway monitoring point payload;
Integrated voltage power frequency factor F
ucharacterize the total percent harmonic distortion THD of voltage
uwith frequency departure f
deach individual event power quality index, embodies the impact of monitoring point voltage power frequency and voltage power frequency integer harmonics;
Integrated voltage low frequency factor F
lucharacterize long-time flickering P
ltwith voltage deviation average V
daeach individual event power quality index, embodies monitoring point voltage low frequency change.
Than each higher individual event power quality index of correlation, uncorrelated mutually between quality of power supply multi-stress.In certain a certain monitoring time section in province net company electric railway monitoring point, the correlation matrix table between comprehensive current factor, the integrated voltage power frequency factor and the integrated voltage low frequency factor is as follows.
Correlation matrix table between table 1 quality of power supply multi-stress
Two, calculate the quality of power supply multi-stress score of each monitoring point, and using the variance contribution ratio of each quality of power supply multi-stress as the quality of power supply integrate score of weight calculation monitoring point, size with each monitoring point quality of power supply integrate score sorts to the quality of power supply of each monitoring point, simultaneously, according to the needs of Classification Management, adopt fuzzy C-means clustering to be classified in all monitoring points, classified description is carried out in monitoring point, process is as follows:
1, the preliminary treatment of data
According to Monitoring Data, each individual event power quality index description value of statistics and calculating monitoring point, carry out correlation test, Bart's profit spherical (Bartlett Test of Sphericity) check and KMO(Kaier-Meyer-Olkin) check, consider assay, as data detection discomfort is fit to do factorial analysis, (each individual event power quality index correlation is very little, Bart's profit sphericity test sig value is greater than 0.01, KMO result is less than 0.5), should consider to adopt other method to carry out overall assessment analysis.
The individual event power quality index of certain each monitoring point of province net company of assay demonstration (each individual event power quality index correlation is larger, and it is 0.631 that Bart's profit sphericity test sig value is about 0.000, KMO result) is described the suitable factorial analysis of doing.
2, set up factor model X=AF+ ε, X=[X in formula
1, X
2..., X
p], X wherein
1, X
2..., X
pfor corresponding individual event quality of power supply description system x
1, x
2..., x
pstandardized variable, F=[F
i, F
u, F
lu] be quality of power supply multi-stress description system, A is factor loading matrix, its matrix value a
ijbe that i the individual event quality of power supply is described the load of variable on j quality of power supply multi-stress, ε is specific factor, represents the part that original variable can not be explained by factor variable;
In certain a certain monitoring time section in province net company electric railway monitoring point, the contribution rate of accumulative total of comprehensive current factor, the integrated voltage power frequency factor and the integrated voltage low frequency factor that each electric railway data of monitoring point is extracted is about 79.503%(and is less than 60% as contribution rate of accumulative total, should consider to adopt other method to carry out overall assessment analysis), following table is in certain a certain monitoring time section in province net company electric railway monitoring point, comprehensive current factor, the integrated voltage power frequency factor and integrated voltage low frequency factor loading matrix table.
Table 2 factor loading matrix table
By factor score function F S
j=β
j1x
1+ ... + β
jpx
p, adopt the Return Law to calculate each monitoring point quality of power supply multi-stress score in certain a certain monitoring time section in province net company electric railway monitoring point, FS
j=[FS
i, FS
u, FS
lu], FS wherein
ifor comprehensive current factor score, FS
ufor the factor score of integrated voltage power frequency, FS
lufor the factor score of integrated voltage low frequency, X
pfor the standardized variable (deducting average divided by standard deviation) of p individual event power quality index variable in individual event quality of power supply description system, p=1,2 ..., 10, β
jpcalculated value is referring to table 3 scoring function coefficient matrix;
Table 3 scoring function coefficient matrix table
3, with the variance contribution S of comprehensive current factor, the integrated voltage power frequency factor and the integrated voltage low frequency factor
jfor weight,
in conjunction with monitoring point each quality of power supply multi-stress score FS
jcalculate the quality of power supply integrate score FS of each monitoring point,
According to integrate score size, the quality of power supply of each monitoring point is sorted, the quality of power supply situation of the higher monitoring point of score is poorer, in certain a certain monitoring time section in province net company electric railway monitoring point, the quality of power supply integrate score situation of each monitoring point is in Table 4.
Meanwhile, according to the needs of Classification Management, all monitoring points are divided into c class, adopt Fuzzy C-Means Cluster Algorithm, set up target function expression formula:
n monitoring point is divided into c ambiguity group, and in formula, U is fuzzy membership collection, wherein
..., n, u
ijbetween 0～1, c
ifor the cluster centre of fuzzy clustering group i, d
ij=|| c
i-x
j|| be i cluster centre and j monitoring point integrate score x
jbetween Euclidean distance, m is Weighted Index, is defaulted as 2, iteration starts with an original hypothesis cluster centre, by iteration average, progressively adjusts, and makes target function be tending towards convergence, realizes all monitoring points classified description.
In certain a certain monitoring time section in province net company electric railway monitoring point, getting fuzzy clustering group number is 5 classes, in conjunction with individual event power quality index value, the quality of power supply situation of certain province net company electric railway monitoring point is described as respectively to " poor ", " poor ", " generally ", " good " and " good ".Wherein, the quality of power supply situation of monitoring point is " poor ", is the object of paying close attention to of quality of power supply unified management and planning improvement; Its quality of power supply situation of the monitoring point of " poor " may further worsen when electric railway load and electrical network situation change.Above two classes are emphasis that power quality controlling is paid close attention to.
Certain province net company electric railway monitoring point, relate to 5 put into operation electric railway called after electricity iron I, electric iron II, electric iron III, electric iron IV and electric iron V respectively, totally 21 monitoring points, in a certain monitoring time section, quality of power supply multi-stress score and cluster are referring to table 4.
Certain economizes net company electric railway monitoring point quality of power supply multi-stress score and cluster table 4
Claims (1)
1. the electric railway monitoring point quality of power supply overall assessment method based on multi-stress, is characterized in that carrying out as follows:
Step a, set up individual event power quality index description system and quality of power supply multi-stress description system:
(1), take relevant criterion as basis, set up individual event quality of power supply description system x, x=[x
1, x
2..., x
p], x wherein
1, x
2..., x
pfor each individual event quality of power supply, describe, described each individual event quality of power supply comprises:
Short circuit ratio R' reciprocal
sce, R'
sce=S
equ/ S
scin formula, S
equfor place capacity, S
scfor place, monitoring point capacity of short circuit;
Harmonic wave index, comprises the total percent harmonic distortion THD of the electric current adopting in GB GB/T14549-93
iwith the total percent harmonic distortion THD of voltage
u; The definition harmonic current multiple average percentage H that transfinites
i-emafor:
in formula, h is harmonic number, I
hfor the h subharmonic current value of load permission injection monitoring point, monitoring point, I'
hbe h subharmonic current monitor value, get a phase of harmonic content maximum, H
i-emaget the large value of 95% probability that in monitoring time section, load and calculate while surpassing set point in monitoring point; Define harmonic voltage containing rate M between maximum power frequency
iHRu50Hz and above maximum containing ratio to harmonic voltage containing rate between below 800Hz while surpassing set point for monitoring point load in monitoring time section; Harmonic voltage containing rate M between definition maximum low frequency
l-IHRuwhile surpassing set point for monitoring point load in monitoring period of time 50Hz following between maximum containing ratio in harmonic voltage containing rate;
Voltage negative phase-sequence degree of unbalance ε
u2be taken as the voltage negative phase-sequence degree of unbalance of using in GB GB/T15543-2008;
Voltage fluctuation d and long-time flickering P
ltby value in GB GB/T12326-2008;
Frequency departure f
dthe large value of 99% probability of frequency absolute value of the bias while being taken as the interior monitoring point of monitoring time section load over set point;
Total phasor power factor average DF
av,
in formula, n is population of measured values, DF
itotal phasor power factor monitor value while loading over set point for monitoring point in monitoring time section;
Voltage deviation average V
da,
in formula, n is voltage monitoring value number, U
ithe minimum monitor value of the phase voltage of monitoring point while loading over set point for monitoring point in monitoring time section, U
aVPfor average amount phasing voltage, the average amount phasing voltage of 110kV electric pressure is taken as
the average amount phasing voltage of 220kV electric pressure is taken as
(2), definition quality of power supply multi-stress description system F=[F
i, F
u, F
lu], wherein:
F
ifor comprehensive current factor, described comprehensive current factor F
icharacterize the total percent harmonic distortion THD of electric current
i, voltage negative phase-sequence degree of unbalance ε
u2, voltage fluctuation d, total phasor power factor average DF
av, short circuit ratio R reciprocal
s'
cewith the harmonic current multiple average percentage H that transfinites
i-emaeach individual event power quality index;
F
ufor the integrated voltage power frequency factor, described integrated voltage power frequency factor F
ucharacterize the total percent harmonic distortion THD of voltage
u, harmonic voltage containing rate M between maximum power frequency
iHRuwith frequency departure f
deach individual event power quality index;
F
lufor the integrated voltage low frequency factor, described integrated voltage low frequency factor F
lucharacterize long-time flickering P
lt, harmonic voltage containing rate M between maximum low frequency
l-IHRuwith voltage deviation average V
daeach individual event power quality index;
Step b, calculate the quality of power supply multi-stress score of each monitoring point, and using the variance contribution ratio of each quality of power supply multi-stress as the quality of power supply integrate score of weight calculation monitoring point, size with each monitoring point quality of power supply integrate score sorts to the quality of power supply of each monitoring point, simultaneously, according to the needs of Classification Management, adopt fuzzy C-means clustering to be classified in all monitoring points, classified description is carried out in monitoring point.
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| CN104914326B (en) * | 2015-04-30 | 2018-11-09 | 许继集团有限公司 | A kind of power quality on-line monitoring method and device |
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| CN110783912B (en) * | 2019-10-15 | 2021-07-27 | 北京四方继保自动化股份有限公司 | Power distribution method of alternating current-direct current hybrid power distribution system based on direct current collection |
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