CN107064744A - A kind of harmonic source location method - Google Patents
A kind of harmonic source location method Download PDFInfo
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- CN107064744A CN107064744A CN201710244036.8A CN201710244036A CN107064744A CN 107064744 A CN107064744 A CN 107064744A CN 201710244036 A CN201710244036 A CN 201710244036A CN 107064744 A CN107064744 A CN 107064744A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/08—Locating faults in cables, transmission lines, or networks
- G01R31/088—Aspects of digital computing
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R23/00—Arrangements for measuring frequencies; Arrangements for analysing frequency spectra
- G01R23/16—Spectrum analysis; Fourier analysis
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/08—Locating faults in cables, transmission lines, or networks
- G01R31/081—Locating faults in cables, transmission lines, or networks according to type of conductors
- G01R31/086—Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution networks, i.e. with interconnected conductors
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Abstract
A kind of harmonic source location method, system side and user side in public electric wire net are calculated based on Emanuel Power Theories principle respectivelykOrder harmonicses apparent energy, harmonic source is positioned according to harmonic wave apparent energy size, and improve measurement accuracy using doffer's chebyshev function window.The present invention improves the correctness, accuracy and actual operation of harmonic source location.
Description
Technical field
The present invention relates to the technical field for administering harmonic pollution and harmonic source location, more particularly to a kind of harmonic source location
Method.
Background technology
Because nonlinear-load accesses power network on a large scale, a large amount of harmonic injection public electric wire nets are caused to power network and user
Tremendous influence.In order to carry out effectively administering, it is necessary to accurately position each harmonic source to harmonic pollution.
Traditional harmonic source location method includes：Based on harmonic state estimation method (such as ICA methods), based on parameter identification side
Method, SVMs algorithm for estimating, improvement rarefaction representation method etc..Regrettably, these are studied when being positioned to harmonic source,
Without harmonic voltage and harmonic current is considered simultaneously, the accuracy of result have impact on.In fact, above method have ignored distortion work(
Physical mechanism and inherent law under the conditions of rate：Harmonic pollution and the main harm damaged is caused to be the distortion of voltage and current
Prevent transmission facility and electrical equipment from effectively transmitting and using non-active energy, and these non-active energy take power transmission and transformation electricity
Capacity and power consumption equipment capacity, and propagated in system, so as to cause energy loss and the pollution to power network and user.Electric power
System harmonicses pollute, in addition to harmonic voltage harmonic electric current is directly translated into, on physical mechanism, show as under the conditions of distorting
Power and its mechanism of transmission problem.Therefore, drilled based on progress harmonic source location under the conditions of distortion power in physical mechanism and mathematics
It is more objective, reasonable and feasible method to unravel silk.
At present, the method being combined on Harmonious Waves in Power Systems with power, its main stream approach is to be based on active power and nothing
The harmonic source location method of work(power.Document (XU W, LIU YL.An investigation on the validity of
power-direction method for harmonic source determination[J].IEEE Transactions
On PWRD, 2003,18 (1)：Main harmonic source mainly 214-219.) is positioned according to the direction of active power.This method is simply straight
See, be easily achieved, but influenceed larger by both sides voltage-phase at PCC, i.e.,：When both sides, voltage phase difference is unsatisfactory for certain condition
When, the accuracy of its result is seriously reduced.Document (LI C, XU W, TAYJASANANT T.A critical impedance
Based method for identifying harmonic sources [J] .IEEE Transactions on PWRD,
2004,19 (2)：671-678.) reactive power positioning mode is proposed, passes through the relative of reactive power walking direction both sides harmonic source
Size, is positioned to main harmonic source.But this method is severely limited by the size of reactive power value, cause result accuracy not
It is high.
The content of the invention
The present invention provides a kind of harmonic source location method, improves the correctness, accuracy and actual behaviour of harmonic source location
The property made.
In order to achieve the above object, the present invention provides a kind of harmonic source location method, comprises the steps of：
Step S1, the Norton equivalent schematic diagram for building public electric wire net, according to principle of stacking, Norton equivalent schematic diagram is decomposed
Into equivalent circuit diagram during equivalent circuit diagram and user side independent role during system side independent role；
Step S2, respectively at PCC to the electricity at system side current value, user side current value and common coupling node
Pressure value is sampled, and carries out discrete form processing to sampled signal using doffer-chebyshev function window, after processing
Signal of change obtains each order harmonic voltage effective value harmonic current effective value；
Step S3, the k order harmonicses apparent energy obtained according to Emanuel Power Theory principles calculate formula calculating and obtain k
Order harmonic system side harmonic wave apparent energy SksWith k order user-side harmonic apparent energy Skc；
Wherein, VkIt is k subharmonic voltages, IkIt is k subharmonic currents, VhIt is h subharmonic voltages, IhIt is h subharmonic currents；
Step S4, compare k order harmonic system side harmonic wave apparent energy SksWith k order user-side harmonic apparent energy Skc
Size, the big side of numerical value be main harmonic source.
The discrete time-domain form of described doffer-chebyshev function is：
N is the discrete sampling point of window function, 0<r<N-1, r are integer, and a is control side lobe peak, and n is expressed as some numeral
Amount, β is phase offset angle.
The present invention is humorous based on the k ranks that Emanuel Power Theories principle calculates system side and user side in public electric wire net respectively
Ripple apparent energy, based on harmonic source location is carried out under the conditions of distortion power in physical mechanism and mathematics deduction, according to harmonic wave apparent
Watt level improves measurement accuracy to position harmonic wave source position using doffer-chebyshev function window, improves harmonic source
Correctness, accuracy and the actual operation of positioning.
Brief description of the drawings
Fig. 1 is the nonlinear-load equivalent circuit diagram containing background harmonic voltage.
Fig. 2 is to be based on Emanuel Power Theory apparent energy exploded views.
Fig. 3 is a kind of flow chart for harmonic source location method that the present invention is provided.
Fig. 4 is equivalent circuit figure.
Equivalent circuit diagram when Fig. 5 is system side independent role.
Equivalent circuit diagram when Fig. 6 is user side independent role.
Fig. 7 is system side and user side measurement voltage figure.
Fig. 8 is system side and user side measured current figure.
Embodiment
Below according to Fig. 1~Fig. 8, presently preferred embodiments of the present invention is illustrated.
It is of the invention main with Emanuel Power Theory principles, based on separation fundamental power and remaining non-fundamental wave apparent energy,
Continue to separate h subharmonic power with other power in remaining non-fundamental wave apparent energy, obtain h subharmonic (any time
Harmonic wave) apparent energy size as harmonic source location Main Basiss.
According to ieee standard 1459-2010 Power Theories, it is assumed that a nonlinear-load is in the case of containing background harmonicses
Steady operation, its equivalent circuit as shown in Figure 1, in figure, vsFor the voltage source containing background harmonicses, Zs hinders for equivalent line
It is anti-, the electric current of diode and its voltage at two ends are flowed through respectively as shown in formula (1)：
Wherein, V is voltage effective value, and I is current effective value, and h is overtone order, and ω is angular frequency, and α, β are voltage, electricity
Phase offset angle is flowed, electric current, voltage effective value are respectively defined as：
Wherein, K is number of cycles, and T is periodic quantity, and τ is damping time constant.
In the ideal case, voltage current waveform is periodic basis's sine wave, but in actual circuit, because power network connects
Enter a large amount of nonlinear power equipments, these equipment can produce harmonic wave to public electric wire net harmonic electric current or in public electric wire net
Voltage, so as to cause voltage current waveform to be distorted.
In order to preferably be studied harmonic wave, it is necessary to be decomposed to power, the active power and nothing that fundamental wave is produced
Work(power is separated very necessary with remaining power.At present, the school main to Power Decomposition has in the world：Budeanu work(
Rate theory, Fryze Power Theories, Czarnecki Power Theories and Emanuel Power Theories.Either meet power conservation
Budeanu Power Theories still have clear physical significance Fryze Power Theories and Czarnecki Power Theories, they
It is not known the relation of fundamental wave and harmonic wave.
And the great advantage studied using Emanuel Power Theories Harmonious Waves in Power Systems is fundamental wave apparent energy
S1Separated from apparent energy S, by non-fundamental wave apparent energy SNComposition analysis, more fully hereinafter to harmonic voltage and
Harmonic current produces influence and quantitatively assessed, and this is significant to harmonic source location.Emanuel Power Decomposition principles
As shown in Fig. 2 S points of apparent energy is fundamental wave apparent energy S1With non-fundamental wave apparent energy SN, fundamental wave apparent energy S1It is divided into fundamental wave
Active-power P1With First Harmonic Reactive Power Q1,.Non- fundamental wave apparent energy SNIt is divided into fundamental current to produce with harmonic voltage interaction
Voltage distortion power DV, fundamental voltage and harmonic current interaction produce current distortion power DIHarmonious wave voltage with it is humorous
The harmonic wave apparent energy S that ripple electric current is producedH。
Voltage x current is decomposed first：
In formula (3), v1For fundamental wave instantaneous voltage, vHFor harmonic wave instantaneous voltage, i1For fundamental wave transient current, iHFor harmonic wave wink
When electric current.
On the basis of formula (3), voltage x current root-mean-square valve breakdown can be further obtained：
In formula (4), V1For fundamental wave instantaneous voltage virtual value, VHFor harmonic wave instantaneous voltage virtual value, I1For fundamental wave transient current
Virtual value, IHFor harmonic wave transient current virtual value.
The fundamental wave decomposited in formula (4) is multiplied respectively with harmonic wave, i.e., to fundamental wave apparent energy and non-fundamental wave apparent energy
Separated, obtain formula (5)：
In formula (5), S1For fundamental wave apparent energy, SNFor non-fundamental wave apparent energy.
Fundamental wave apparent energy S1Expression formula be：
Non- fundamental wave apparent energy SNExpression formula be：
Wherein, fundamental current and the voltage distortion power of harmonic voltage interaction generation are：DV=VH·I1.Fundamental wave electricity
Pressure and the current distortion power of harmonic current interaction generation are：DI=V1·IH.It is humorous that harmonic voltage and harmonic current are produced
Ripple apparent energy is：SH=VH·IH.Wherein,
In order to clearly illustrate k subharmonic voltages of interest and the k subharmonic apparent energy S of electric current generationk, press
According to Emanuel Power Decomposition principles, k subharmonic apparent energy is separated with remaining non-fundamental wave apparent energy, and by this
The index positioned as k subharmonic source of interest.
Wherein, h represents the overtone order of any time, and k represents the overtone order of some determination, Pk=Vk·IkFor k subharmonic
In active power, formula (7) after three it is unrelated with k subharmonic voltages electric current.Therefore, k subharmonic apparent energy is obtained：
According to formula (8) it will be clear that k subharmonic apparent energy S of interestkIt is by harmonic voltage VkHarmonic
Electric current IkInteract and produce with other order harmonic Current Voltages.Therefore, to harmonic source location the problem of, can be exchanged into humorous
Wave source k subharmonic apparent energy SkSolved.
As shown in figure 3, the present invention provides a kind of harmonic source location method, comprise the steps of：
Step S1, the Norton equivalent schematic diagram (as shown in Figure 4) for building public electric wire net, according to principle of stacking, by promise etc.
It is equivalent during equivalent circuit diagram (as shown in Figure 5) and user side independent role when effect schematic diagram resolves into system side independent role
Circuit diagram (as shown in Figure 6)；
Wherein, ISIt is the electric current for flowing through system side, Zs is system side equivalent impedance, UPCCIt is at common coupling node PCC
The voltage source with background harmonicses, ICIt is the electric current for flowing through user side, ZCIt is user side equivalent impedance；
Step S2, respectively at PCC to the electricity at system side current value, user side current value and common coupling node
Pressure value is sampled, and carries out discrete form processing to sampled signal using doffer-chebyshev function window, after processing
Signal of change obtains each order harmonic voltage effective value harmonic current effective value；
Due to sampled signal finiteness and the sampling period it is asynchronous, carry out Fast Fourier Transform (FFT) (Fast
Fourier Transform, FFT) the algorithm spectral leakage that can produce and fence effect when extracting harmonic component, directly affect survey
Measure the accuracy of data；
In order to improve the accuracy of measurement data, spectral leakage need to be reduced using window function, it is desirable to the master of window function frequency spectrum
Valve is as far as possible narrow, and secondary lobe is as far as possible small, and the method for eliminating fence effect is to use frequency domain interpolation；
The discrete time-domain form of doffer-chebyshev function is：
N is the discrete sampling point of window function, 0<r<N-1, r are integer, and a is control side lobe peak, and n is expressed as some numeral
Amount, β is phase offset angle；
Sampled signal x (n) is blocked with Chebyshev window, according to convolution theorem, FFT changes is carried out to truncated signal and are waited
Spaced discrete, then enters horizontal phasing control to it, and it is identical to meet each spectral line phase of main lobe, while each corresponding spectral line of secondary lobe
Approximately adjacent phase is met on the contrary, finally by processing is overlapped to spectral line, reducing secondary lobe；
Step S3, the k order harmonicses apparent energy obtained according to Emanuel Power Theory principles calculate formula calculating and obtain k
Order harmonic system side harmonic wave apparent energy SksWith k order user-side harmonic apparent energy Skc；
Wherein, VkIt is k subharmonic voltages, IkIt is k subharmonic currents, VhIt is h subharmonic voltages, IhIt is h subharmonic currents；
Step S4, compare k order harmonic system side harmonic wave apparent energy SksWith k order user-side harmonic apparent energy Skc
Size, the big side of numerical value be main harmonic source.
A kind of harmonic source location method of offer provided according to the present invention, the equivalent circuit figure according to Fig. 4,
Matlab/Simunilink builds model.According to principle of stacking, when system side current source and user side current source independent role
When, measurement obtains voltage x current at PCC respectively, and each rank is obtained using adding the fft algorithm of doffer-chebyshev function window to handle
Subharmonic voltage current value, substitutes into each harmonic apparent energy that formula (8) respectively obtains system side and user side, compares its value big
It is small, main harmonic source is positioned.The corresponding parameter setting of equivalent circuit is as shown in table 1：
The simulation parameter of table 1
| System side | User side | |
| 3 subharmonic sources/A | 12.7∠-35° | 21.3∠45° |
| 5 subharmonic sources/A | 4.8∠100° | 3.7∠70° |
| Resistance/Ω | 4.7 | 16 |
| Inductance/L | 20.3 | 38.5 |
Obtain system side and when user side is individually acted on, voltage current waveform is as shown in Figure 7 and Figure 8.
Using 3 subharmonic as research object, by adding the fft algorithm of Chebyshev's window function, each harmonic voltage electricity is obtained
The virtual value of stream, brings formula (8) calculating into and obtains：Ss3<Sc3, i.e. for 3 subharmonic, user side is main harmonic source.
In laboratory conditions, using hot-water bottle, notebook personal computer, stable operation under air conditioner refrigerating mode state
In the case of, same PCC points are accessed, the different load of simulation access public electric wire net carries out simple harmonic source location experiment.With height
Precision waveform recording instrument (LEM DL750) is measured voltage x current data sampling.Sample frequency is 10kHz, sampling per minute
One point, every 10 cycles obtain effective value by adding the FFT of Chebyshev window to calculate, and obtain harmonic wave apparent energy
Sk.Using 3 subharmonic as research object, the sampling time is 1 hour, and one point of sampling per minute obtains each Load harmonic apparent
Changed power figure, as seen from the figure, air-conditioning in cooling mode stable operation when, 3 subharmonic apparent energy are maximum, next to that personal
Computer, 3 subharmonic apparent energy of water heater are minimum.Therefore it can be determined that, the air-conditioning under refrigeration mode is 3 subharmonic main harmonics
Source.
Using Simulink emulation to harmonic source location, it was demonstrated that the correctness of the harmonic wave apparent energy index.Actual measurement is real
Test and three kinds of different types of loads are tested, as a result show that the present invention puies forward index and has actual operation.
The present invention improves the correctness, accuracy and actual operation of harmonic source location.
Although present disclosure is discussed in detail by above preferred embodiment, but it should be appreciated that above-mentioned
Description is not considered as limitation of the present invention.After those skilled in the art have read the above, for the present invention's
A variety of modifications and substitutions all will be apparent.Therefore, protection scope of the present invention should be limited to the appended claims.
Claims (2)
1. a kind of harmonic source location method, it is characterised in that comprise the steps of：
Step S1, the Norton equivalent schematic diagram for building public electric wire net, according to principle of stacking, Norton equivalent schematic diagram are resolved into are
Unite side independent role when equivalent circuit diagram and user side independent role when equivalent circuit diagram；
Step S2, respectively at PCC to the magnitude of voltage at system side current value, user side current value and common coupling node
Sampled, and discrete form processing is carried out to sampled signal using doffer-chebyshev function window, according to the signal after processing
Calculating obtains each order harmonic voltage effective value harmonic current effective value；
Step S3, the k order harmonicses apparent energy obtained according to Emanuel Power Theory principles calculate formula calculating and obtain k orders
Harmonic wave system side harmonic wave apparent energy SksWith k order user-side harmonic apparent energy Skc；
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Wherein, VkIt is k subharmonic voltages, IkIt is k subharmonic currents, VhIt is h subharmonic voltages, IhIt is h subharmonic currents；
Step S4, compare k order harmonic system side harmonic wave apparent energy SksWith k order user-side harmonic apparent energy SkcIt is big
Small, the big side of numerical value is main harmonic source.
2. harmonic source location method as claimed in claim 1, it is characterised in that described doffer-chebyshev function from
Scattered forms of time and space is：
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For phase offset angle.
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| CN108957131A (en) * | 2018-08-03 | 2018-12-07 | 西安科技大学 | Low-voltage network harmonic contributions division methods based on residual current |
| CN109116183A (en) * | 2018-06-28 | 2019-01-01 | 全球能源互联网研究院有限公司 | Harmonic-model parameter identification method, device, storage medium and electronic equipment |
| CN109342815A (en) * | 2018-10-29 | 2019-02-15 | 中国电力科学研究院有限公司 | A kind of substation's harmonic source location method and system |
| CN110320407A (en) * | 2019-07-31 | 2019-10-11 | 国家电网有限公司 | A kind of spot measurement power grid main harmonic source localization method based on apparent energy |
| CN112014680A (en) * | 2020-07-13 | 2020-12-01 | 南方电网科学研究院有限责任公司 | Harmonic source positioning method and system for electric power system |
| CN113484690A (en) * | 2021-07-27 | 2021-10-08 | 杭州得诚电力科技股份有限公司 | Harmonic source positioning method, device, equipment and storage medium of power supply system |
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| CN117129755A (en) * | 2023-10-24 | 2023-11-28 | 南方电网科学研究院有限责任公司 | Wide-frequency oscillation wide-area monitoring system and wide-frequency oscillation source positioning method |
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Cited By (11)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109116183A (en) * | 2018-06-28 | 2019-01-01 | 全球能源互联网研究院有限公司 | Harmonic-model parameter identification method, device, storage medium and electronic equipment |
| CN109116183B (en) * | 2018-06-28 | 2020-07-31 | 全球能源互联网研究院有限公司 | Harmonic model parameter identification method and device, storage medium and electronic equipment |
| CN108957131A (en) * | 2018-08-03 | 2018-12-07 | 西安科技大学 | Low-voltage network harmonic contributions division methods based on residual current |
| CN109342815A (en) * | 2018-10-29 | 2019-02-15 | 中国电力科学研究院有限公司 | A kind of substation's harmonic source location method and system |
| CN110320407A (en) * | 2019-07-31 | 2019-10-11 | 国家电网有限公司 | A kind of spot measurement power grid main harmonic source localization method based on apparent energy |
| CN112014680A (en) * | 2020-07-13 | 2020-12-01 | 南方电网科学研究院有限责任公司 | Harmonic source positioning method and system for electric power system |
| CN113484690A (en) * | 2021-07-27 | 2021-10-08 | 杭州得诚电力科技股份有限公司 | Harmonic source positioning method, device, equipment and storage medium of power supply system |
| CN114062852A (en) * | 2021-11-17 | 2022-02-18 | 广东电网有限责任公司广州供电局 | Cable intermediate joint fault diagnosis method, device, equipment and readable storage medium |
| CN114062852B (en) * | 2021-11-17 | 2023-08-08 | 广东电网有限责任公司广州供电局 | Cable intermediate connector fault diagnosis method, device, equipment and readable storage medium |
| CN117129755A (en) * | 2023-10-24 | 2023-11-28 | 南方电网科学研究院有限责任公司 | Wide-frequency oscillation wide-area monitoring system and wide-frequency oscillation source positioning method |
| CN117129755B (en) * | 2023-10-24 | 2024-01-19 | 南方电网科学研究院有限责任公司 | Wide-frequency oscillation wide-area monitoring system and wide-frequency oscillation source positioning method |
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