CN102735938A - Quick detection method of grid voltage fundamental wave positive sequence phase angle - Google Patents
Quick detection method of grid voltage fundamental wave positive sequence phase angle Download PDFInfo
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Abstract
The invention relates to a quick detection method of a grid voltage fundamental wave positive sequence phase angle, wherein the fundamental wave positive sequence voltage of a grid is obtained through two loops such as a frequency locking loop and a phase locking loop and a phase angle of fundamental wave voltage positive sequence component is extracted from a signal when the frequency of the grid voltage changes and the three-phase voltage is asymmetric or distorted. According to the quick detection method of the grid voltage fundamental wave positive sequence phase angle disclosed by the invention, when the frequency of the grid voltage is unstable and the waveform is distorted, the interference of harmonic component and fundamental wave negative sequence component is removed through the frequency locking loop and the phase locking loop, and the phase angle of grid voltage fundamental wave positive sequence component is exactly detected, thus the quick detection method disclosed by the invention not only has high detection precision, but also has quicker dynamic response speed, and can ensure the normal operation of various power electronic devices.
Description
Technical field
The present invention relates to a kind of can be unstable in the line voltage frequency, fast, accurately detect the method for its fundamental voltage positive-sequence component phase angle during wave form distortion, belong to the detection technique field.
Background technology
During Operation of Electric Systems, system frequency can change along with the variation of customer charge, so the fundamental frequency of line voltage is easy to receive effects of load and disturbance takes place.Along with the widespread use of power electronic equipment, electric railway and ac arc furnace, the harmonic problem of electrical network, three-phase asymmetry problem are serious day by day.In engineering; The fundamental frequency disturbance of line voltage; Harmonic wave and three-phase asymmetry can make some devices that need accurately to measure in real time the line voltage phase angle (like the inverter in power distribution network STATCOM (D-STATCOM), the DC transmission system etc.) can't operate as normal.This is because when the three-phase voltage wave form distortion; The phase place of the electrical network a phase voltage that obtains with traditional detection method is the coefficient phase place of positive sequence, negative phase-sequence, zero sequence and harmonic component by a phase voltage, but not as the phase place of a phase voltage fundamental positive sequence of control benchmark.Therefore, when the three-phase voltage wave form distortion, to the voltage fundamental positive-sequence component fast, accurately detection just becomes prerequisite and the key that all kinds of power electronic equipments are realized effectively operation control.
Although people have done various improvement to traditional detection method, existing line voltage fundamental positive sequence phase-angle detection method all is difficult to take into account the contradiction between system stability and the dynamic responding speed, is necessary further to explore.
Summary of the invention
The objective of the invention is to overcome prior art deficiency, a kind of method for quick of new line voltage fundamental positive sequence phase angle is provided, to guarantee the normal operation of all kinds of power electronic equipments.
The alleged problem of the present invention realizes with following technical proposals:
A kind of method for quick of line voltage fundamental positive sequence phase angle; Said method is at the line voltage frequency variation; Three-phase voltage asymmetric or when distortion; Through the fundamental positive sequence voltage of " frequency locking " and " lock is mutually " two links acquisitions electrical network, from this signal, extract the phase angle of fundamental voltage positive-sequence component then, its concrete steps are following:
A. frequency locking
If the line voltage three-phase is asymmetric and when distortion, the electrical network three-phase voltage is respectively:
In the formula: U is a voltage effective value;
is phase angle; First subscript represent the preface component (the 1st, positive sequence; The 2nd, negative phase-sequence; The 0th, zero sequence); Second subscript represented overtone order, and
is system's first-harmonic angular frequency
With u
a, u
b, u
cBe converted into the alpha-beta coordinate:
,
With u
βThrough LPF (low-pass filter) filtering harmonic component, the signal of acquisition obtains the cosine and sine signal with fundamental positive sequence voltage same frequency by PLL (phaselocked loop) locking phase and frequency:
With
, this has just locked the fundamental frequency of line voltage;
B. lock phase
Utilize the trigonometric function formula, incite somebody to action first-harmonic negative sequence component cancellation wherein through plus and minus calculation:
u
α s-u
β cWith u
α c-u
β sThrough LPF elimination AC compounent:
Utilize the trigonometric function characteristic to obtain the fundamental voltage positive-sequence component:
produces and the synchronous cosine and sine signal of a phase voltage fundamental positive sequence same frequency through phaselocked loop then, and then obtains line voltage fundamental positive sequence phase angle.
The present invention can be unstable in the line voltage frequency; During wave form distortion, through " frequency locking " and " lock is mutually " two interference that link is removed harmonic component and first-harmonic negative sequence component, the phase angle of accurate detection of grid voltage fundamental positive-sequence component; Said method not only accuracy of detection is high, and its error is less than 10
-4, and dynamic responding speed is very fast, can reach stable again in the half cycles, can guarantee the normal operation of all kinds of power electronic equipments.
Description of drawings
Below in conjunction with accompanying drawing the present invention is made further detailed description.
Fig. 1 adopts this method to carry out the process flow diagram that instruction current calculates;
Fig. 2 is the test pattern of a simulation example of the present invention.
Each symbol is in the literary composition:
, nth harmonic voltage positive-sequence component effective value;
, nth harmonic voltage negative sequence component effective value;
, nth harmonic voltage zero-sequence component effective value;
, a phase fundamental voltage positive-sequence component effective value;
, the initial phase angle of nth harmonic voltage positive-sequence component;
, the initial phase angle of nth harmonic voltage negative sequence component;
, the initial phase angle of nth harmonic voltage zero-sequence component; N, overtone order;
, angular frequency;
t, the time; u
a, u
b, u
cBe three-phase voltage; u
α, u
βBe process
Be converted into the voltage of alpha-beta axle; α β-dq transformation matrix of coordinates C does
Embodiment
The present invention considers the generality of grid voltage waveform distortion in the engineering when accomplishing the fast detecting of fundamental voltage positive-sequence component phase angle, establish three-phase voltage u
a, u
b, u
cBe respectively:
In the formula: U is a voltage effective value, and first subscript is represented preface component (the 1st, positive sequence, the 2nd, negative phase-sequence, the 0th, zero sequence), and second subscript represented overtone order.
The frequency locking link of this paper: with u
a, u
b, u
c, process
Be converted into the alpha-beta coordinate:
,
With u
αThrough LPF filtering harmonic component, the signal of acquisition obtains the cosine and sine signal with fundamental positive sequence voltage same frequency by PLL locking phase and frequency:
With
, this has just locked the fundamental frequency of line voltage.
The phaselocked loop joint of this paper: with u
α, u
βMultiply each other respectively with the cosine and sine signal matrix:
Utilize the correlation formula of trigonometric function, will wherein comprise the component cancellation of first-harmonic negative phase-sequence information through plus and minus calculation:
Related characteristics through trigonometric function obtains the fundamental voltage positive-sequence component:
Below provide a simulation example and verify effect of the present invention.
Utilize the Simulink tool box of Matlab to set up the realistic model of three-phase four-wire system power distribution network.Wherein, the substation transformer model is by voltage source and the common formation of substation transformer impedance (R+jX=3+j0.04 Ω); Non-linear out-of-balance load by the non-linear partial (R1+jX1=18+ j0.03 Ω) that inserts electrical network through three-phase commutation bridge with insert through single-phase rectification bridge that B out-of-balance load (R2+jX2=25+j0.005 Ω) mutually is common to be constituted; Line impedance is 3mH.
Utilize phaselocked loop and detection method of the present invention to carry out the emulation experiment of network voltage detection respectively, it is as shown in Figure 2 to obtain the result.Can see that from Fig. 2 the phase place of line voltage is by the coefficient phase place of the positive sequence of a phase voltage, negative phase-sequence, zero sequence and harmonic component, have phase differential with the phase place of a phase voltage fundamental positive sequence as the control benchmark.
Claims (1)
1. the method for quick of a line voltage fundamental positive sequence phase angle; It is characterized in that; Said method is at the line voltage frequency variation, during the asymmetric or distortion of three-phase voltage, through the fundamental positive sequence voltage of " frequency locking " and " lock mutually " two links acquisitions electrical network; From this signal, extract the phase angle of fundamental voltage positive-sequence component then, concrete steps are following:
aFrequency locking
If the line voltage three-phase is asymmetric and when distortion, the electrical network three-phase voltage is respectively:
In the formula: U is a voltage effective value;
is phase angle; First subscript is represented the preface component: the 1st, and positive sequence; The 2nd, negative phase-sequence; The 0th, zero sequence; Second subscript represented overtone order, and
is system's first-harmonic angular frequency
With u
a, u
b, u
cBe converted into the alpha-beta coordinate:
With u
βThrough LPF filtering harmonic component, the signal of acquisition obtains the cosine and sine signal with fundamental positive sequence voltage same frequency by PLL locking phase and frequency:
With
, this has just locked the fundamental frequency of line voltage;
bThe lock phase
Utilize the trigonometric function formula, incite somebody to action first-harmonic negative sequence component cancellation wherein through plus and minus calculation:
,
u
α s-u
β cWith u
α c-u
β sThrough LPF elimination AC compounent:
Utilize the trigonometric function characteristic to obtain the fundamental voltage positive-sequence component:
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CN102914687A (en) * | 2012-11-05 | 2013-02-06 | 冶金自动化研究设计院 | Method for precisely calculating voltage or current effective value |
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CN104698254A (en) * | 2015-03-17 | 2015-06-10 | 中国科学院广州能源研究所 | Grid fundamental positive sequence voltage extracting method and phase-locking method |
CN104730339A (en) * | 2015-03-15 | 2015-06-24 | 华南理工大学 | Digital phase lock method in condition of unsymmetrical three-phase voltage |
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CN107251361A (en) * | 2015-01-30 | 2017-10-13 | 英捷电力技术有限公司 | Synchronization system and correlating method for generator unit |
CN107607784A (en) * | 2017-07-28 | 2018-01-19 | 中国农业大学 | A kind of open loop synchronous method |
CN110146742A (en) * | 2019-05-15 | 2019-08-20 | 江苏师范大学 | A kind of harmonic detecting method based on improvement Virtual shipyard orientation |
CN110702987A (en) * | 2019-10-31 | 2020-01-17 | 科华恒盛股份有限公司 | System for extracting positive and negative sequence fundamental wave components of power grid voltage signal |
CN110927452A (en) * | 2019-11-26 | 2020-03-27 | 华北水利水电大学 | Phase difference measuring method and device based on instantaneous reactive power |
WO2023045469A1 (en) * | 2021-09-27 | 2023-03-30 | 新疆金风科技股份有限公司 | Power grid frequency detection method, apparatus, power grid frequency adjustment method, and apparatus |
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