CN102385003B - Method for detecting frequency and phase of voltage signals or current signals in electric power system - Google Patents

Method for detecting frequency and phase of voltage signals or current signals in electric power system Download PDF

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CN102385003B
CN102385003B CN 201110347668 CN201110347668A CN102385003B CN 102385003 B CN102385003 B CN 102385003B CN 201110347668 CN201110347668 CN 201110347668 CN 201110347668 A CN201110347668 A CN 201110347668A CN 102385003 B CN102385003 B CN 102385003B
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frequency
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王亮
姜齐荣
洪芦诚
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Tsinghua University
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Abstract

The invention relates to a method for detecting frequency and phase of voltage signals or current signals in an electric power system, and belongs to the technical filed of electric power signal detection. Firstly, voltage signals or current signals in the electric power system are collected through a sensor, the collected signals is subjected to appropriate treatment, and then first phase detection value Phi- and frequency detection valve Omega^ are obtained respectively through adopting the park transformation and the frequency control filtering, integration is performed to the Omega^, and finally, the detection value Theta of the phase of the voltage signals or the current signals of the electric power system can be obtained through plusing the Phi- and the Theta^. Through adopting the method, the new frequency and phase can be tracked quickly after the signal frequency and signal change, the frequency and the phase of the signal can be obtained accurately when the signal is interfered or polluted, the control and stability of the electric power system can be promoted, the electric power and electronic devices in the electric power system can operate safely and reliably, and the power and frequency control on the distributed power generation or minitype electric power system can be facilitated.

Description

The method of voltage signal or current signal frequency and phase place in the detection electric system
Technical field
The present invention relates to a kind of method that detects voltage signal in the electric system or current signal frequency and phase place, belong to electric power signal detection technique field.
Background technology
Phase place and the frequency of obtaining periodic signal have very important actual application value in electrical engineering.
In electrical engineering, the control of electric voltage frequency and phase differential each other is the necessary condition that guarantees the normal operation of electrical network within limits on electric system key node and the section.Take place in the process of static state, dynamic buckling in electric system, the phase change of key node is to analyze the important information of its unstability process development and instability Mechanism.This just requires, and no matter Operation of Electric Systems still is in dynamic adjustment process in steady state (SS), can both obtain the frequency and the phase place of system accurately and rapidly.In addition, frequency and the phase place that obtains system voltage accurately and rapidly also has significant application value for the power supply quality that improves power distribution network.In power distribution network, there are numerous power quality problems such as idle, harmonic wave, negative phase-sequence, flickering and electric voltage dropping.High power electronic equipment is a best means of improving these problems, such as static reacance generator (STATCOM), active power filter (APF), uninterrupted power supply (ups) Unity, dynamic electric voltage recovery device (DVR) or the like.They will finish the task of improving the quality of power supply, must realize its bucking voltage/electric current and the synchronous problem of system voltage/electric current.When electric system caused system voltage and SPA sudden phase anomalies because of faults such as distant place short circuits, stationary problem was particularly important.This moment the correct basis of improving the quality of power supply of being not only synchronously, not overcurrent, overvoltage of control compensation device especially makes the important assurance of its safe and reliable operation.New forms of energy such as wind-power electricity generation, solar electrical energy generation form by distributed power generation, micro power network often link to each other with electric system, at this moment, also need to keep synchronous on these mini systems and electric system access point frequency and the phase place.
Voltage signal or current signal method for detecting phases commonly used now comprise: zero passage detection, inverse trigonometric function calculate and phaselocked loop.Zero passage detection is at the zero point of the positive going zeror crossing of voltage signal or the current signal moment as voltage signal or current signal phase place, afterwards, according to the rated frequency calculating voltage signal of system or the phase place of current signal, up to the next positive going zeror crossing moment of voltage signal or current signal.This method can't obtain phase information accurately between two zero crossings, system frequency can produce the detection error when skew takes place, and very easily is subjected to harmonic wave and interference of noise, causes detecting mistake.Inverse trigonometric function calculating is meant and utilizes inverse trigonometric function, directly calculates the phase place of sinusoidal signal.This method suffers harmonic wave and interference of noise equally easily, produces bigger detection error.Phaselocked loop is by closed-loop control, by the detected value of calculating voltage signal or current signal and the error of actual value, revises detected value constantly, to obtain detected value accurately.The response speed of this method is slow, and harmonic wave and noise still can cause output error.Because now there is above-mentioned shortcoming in existing these detection methods, make in actual applications, can not accurately, promptly detect the phase place of electric system, be unfavorable for the control of electric system and stable; Can influence operate as normal such as static reacance generator, active power filter, uninterrupted power source, dynamic electric voltage recovery device, even can cause their overcurrents, overvoltage, can damage these equipment when serious; The power and the frequency control that are unfavorable for distributed power generation or micro power network.
Summary of the invention
The present invention seeks to propose a kind of method that detects voltage signal in the electric system or current signal frequency and phase place, overcome the shortcoming of prior art, to avoid harmonic wave and interference of noise, detect the frequency and the phase place of power system voltage signal or current signal rapidly and accurately.
The method of voltage signal or current signal frequency and phase place in the detection electric system that the present invention proposes comprises following each step:
(1) utilize the voltage signal or the current signal of sensor acquisition electric system: if electric system is a three-phase system, the signal of collection is designated as v a, v b, v c, utilize the Clarke conversion with v a, v b, v cBe transformed to two paths of signals v α, v βIf electric system is a monophase system, the signal of collection is designated as v In, and with v InAs signal v α, utilize Hilbert transform to obtain signal v β
(2) establish the required phase place of Parker conversion
Figure BDA0000105940130000021
Initial value be 0, to above-mentioned two paths of signals v α, v βCarry out the Parker conversion and obtain signal v D1, v Q1
(3) according to above-mentioned signal v D1, v Q1, calculate v D1With v D1Time-delay
Figure BDA0000105940130000022
The mean value v of back signal D2, calculate v D2With v D2Time-delay
Figure BDA0000105940130000023
The mean value v of back signal D3, calculate v D3With v D3Time-delay
Figure BDA0000105940130000024
After signal averaging v D4, calculate v D4With v D4Time-delay
Figure BDA0000105940130000025
After the signal v that averages D5, to v D5Carry out low-pass filtering, obtain v dCalculate v Q1With v Q1Time-delay
Figure BDA0000105940130000026
The mean value v of back signal Q2, calculate v Q2With v Q2Time-delay
Figure BDA0000105940130000027
The mean value v of back signal Q3, calculate v Q3With v Q3Time-delay
Figure BDA0000105940130000028
After signal averaging v Q4, calculate v Q4With v Q4Time-delay
Figure BDA0000105940130000029
After the signal v that averages Q5, to v Q5Carry out low-pass filtering, obtain v q, wherein
Figure BDA00001059401300000210
Power frequency period for electric system;
(4) establish the initial phase detected value of power system voltage signal or current signal
Figure BDA00001059401300000211
Initial value be 0, the v that above-mentioned steps (3) is obtained dWith
Figure BDA00001059401300000212
Sine value multiply each other, obtain first calculated value, the v that above-mentioned steps (3) is obtained qWith Cosine value multiply each other, obtain second calculated value, second calculated value is deducted first calculated value, obtain the actual value of power system voltage signal or current signal initial phase
Figure BDA00001059401300000214
With the initial phase detected value
Figure BDA00001059401300000215
Error, be designated as
(5) right
Figure BDA00001059401300000217
Carry out proportional integral, obtain the initial phase detected value
(6) to the v of above-mentioned steps (3) dDifferentiate makes the v of derivative and above-mentioned steps (3) qMultiply each other, obtain the 3rd calculated value, to the v of above-mentioned steps (3) qDifferentiate makes the v of derivative and above-mentioned steps (3) dMultiply each other, obtain the 4th calculated value, the 3rd calculated value deducts the 4th calculated value, obtains power system voltage signal or current signal angular frequency actual value ω and detected value
Figure BDA00001059401300000219
Error, be designated as e ω
(7) the disturbance threshold value v of power system voltage of setting or electric current Th, to the e of above-mentioned steps (6) ωTake absolute value, differentiate again obtains the 5th calculated value, with the 5th calculated value and disturbance threshold value v ThCompare, if the 5th calculated value is greater than v Th, the T after the disturbance then bConstantly, make e ωBe 0, if the 5th calculated value is less than or equal to v Th, e then ωRemain unchanged, wherein T bBe the disturbance shielding time;
(8) to the e of above-mentioned steps (7) ωCarry out proportional integral, obtain the detected value of power system voltage signal or current signal angular frequency
Figure BDA0000105940130000031
(9) to above-mentioned steps (8)
Figure BDA0000105940130000032
Carry out integration, obtain the required phase place of Parker conversion
Figure BDA0000105940130000033
(10) make the initial phase detected value of above-mentioned steps (5)
Figure BDA0000105940130000034
With above-mentioned steps (9) Addition obtains the detected value θ of power system voltage signal or current signal phase place;
(11) use the power system voltage signal of step (5) or the detected value of current signal initial phase
Figure BDA0000105940130000036
And the required phase place of Parker conversion of step (9)
Figure BDA0000105940130000037
The detection to voltage signal in the electric system or current signal frequency and phase place is realized in repeating step (1)~(10).
The method of voltage signal or current signal frequency and phase place in the detection electric system that the present invention proposes, its advantage is:
1, the inventive method has response speed and good filtering effect fast, can follow the tracks of new frequency and phase place rapidly in signal frequency and the phase place back that changes, can be when signal be interfered and pollute the frequency of picked up signal and phase place accurately;
2, the inventive method can accurately, promptly detect the phase place of electric system, helps the control of electric system and stable;
3, the inventive method can guarantee the operate as normal of equipment such as static reacance generator in the electric system, active power filter, uninterrupted power source, dynamic electric voltage recovery device, when guaranteeing that there is big disturbance in they in system, not overcurrent, not overvoltage guarantees that they move safely and reliably;
4, the inventive method helps the power and the frequency control of distributed power generation or miniature electric system.
Description of drawings
Fig. 1 be when electric system be three phase times, the FB(flow block) of the inventive method.
Fig. 2 is when electric system when being single-phase, utilizes the synoptic diagram of Hilbert (Hilbert) conversion process monophase system acquired signal in the inventive method.
Fig. 3 is the process flow diagram of frequency control filtering.
Fig. 4 is the process flow diagram of frequency error reconstruct.
Fig. 5 is an input three-phase voltage symmetry and when not containing harmonic wave, the phase place that obtains with the inventive method.
Fig. 6 is an input three-phase voltage when containing harmonic wave, the phase place that obtains with the inventive method.
Fig. 7 is an input three-phase voltage when containing harmonic wave, the phase place that obtains with the inventive method.
Fig. 8 is that the input three-phase voltage is at 20ms moment phase hit 30 degree, with the phase place of the inventive method acquisition.
Fig. 9 is that input three-phase voltage frequency is when 20ms increases by 1 hertz constantly, with the frequency of the inventive method acquisition.
Embodiment
The method of voltage signal or current signal frequency and phase place in the detection electric system that the present invention proposes, its FB(flow block) comprises following each step as shown in Figure 1:
(1) utilize the voltage signal or the current signal of sensor acquisition electric system: if electric system is a three-phase system, the signal of collection is designated as v a, v b, v c, utilize Clarke (Clarck) conversion with v a, v b, v cBe transformed to two paths of signals v α, v βThe Clarke transformation matrix is
C = 2 3 1 - 1 / 2 - 1 / 2 0 3 / 2 - 3 / 2 - - - ( 1 )
If electric system is a monophase system, the signal of collection is designated as v In, and with v InAs signal v α, utilize Hilbert (Hilbert) conversion to obtain signal v β, as shown in Figure 2:
(2) establish the required phase place of Parker conversion
Figure BDA0000105940130000042
Initial value be 0, to above-mentioned two paths of signals v α, v βCarry out Parker (Park) conversion and obtain signal v D1, v Q1, the Parker transformation matrix is
T ( θ ^ ) = cos θ ^ sin θ ^ - sin θ ^ cos θ ^ - - - ( 2 )
In the formula (2),
Figure BDA0000105940130000044
Can utilize
Figure BDA0000105940130000045
Obtain by integration, should be earlier with
Figure BDA0000105940130000046
Be made as the frontal eminence frequency of electric system, constantly revise by closed loop then, to obtain the exact value of system angle frequency;
(3) according to above-mentioned signal v D1, v Q1The time delayed signal elimination algorithm compares to common wave filter and has filter effect and quicker response better, be very suitable for the low-frequency disturbance in the filtering direct current signal, be repeatedly used the time delayed signal elimination algorithm can the filtering frequency all following harmonic waves, and then in conjunction with low-pass filter, filtering higher hamonic wave and noise, detailed process at first calculate v as shown in Figure 3 D1With v D1Time-delay
Figure BDA0000105940130000047
The mean value v of back signal D2, calculate v D2With v D2Time-delay
Figure BDA0000105940130000048
The mean value v of back signal D3, calculate v D3With v D3Time-delay
Figure BDA0000105940130000049
After signal averaging v D4, calculate v D4With v D4Time-delay
Figure BDA00001059401300000410
After the signal v that averages D5To v D5Carry out low-pass filtering, obtain v dCalculate v Q1With v Q1Time-delay
Figure BDA00001059401300000411
The mean value v of back signal Q2, calculate v Q2With v Q2Time-delay
Figure BDA00001059401300000412
The mean value v of back signal Q3, calculate v Q3With v Q3Time-delay
Figure BDA00001059401300000413
After signal averaging v Q4, calculate v Q4With v Q4Time-delay
Figure BDA00001059401300000414
After the signal v that averages Q5, to v Q5Carry out low-pass filtering, obtain v q, wherein
Figure BDA00001059401300000415
Power frequency period for electric system;
(4) establish the initial phase detected value of power system voltage signal or current signal Initial value be 0, the v that above-mentioned steps (3) is obtained dWith
Figure BDA00001059401300000417
Sine value multiply each other, obtain first calculated value, the v that above-mentioned steps (3) is obtained qWith
Figure BDA00001059401300000418
Cosine value multiply each other, obtain second calculated value, second calculated value is deducted first calculated value, obtain the actual value of power system voltage signal or current signal initial phase With the initial phase detected value
Figure BDA0000105940130000052
Error, be designated as
Figure BDA0000105940130000053
(5) right
Figure BDA0000105940130000054
Carry out proportional integral, obtain the initial phase detected value
Figure BDA0000105940130000055
(6) to the v of above-mentioned steps (3) dDifferentiate makes the v of derivative and above-mentioned steps (3) qMultiply each other, obtain the 3rd calculated value, to the v of above-mentioned steps (3) qDifferentiate makes the v of derivative and above-mentioned steps (3) dMultiply each other, obtain the 4th calculated value, the 3rd calculated value deducts the 4th calculated value, obtains power system voltage signal or current signal angular frequency actual value ω and detected value Error, be designated as e ω, as shown in Figure 4;
(7) when input signal generation SPA sudden phase anomalies and frequency discontinuity, the output e of frequency error detection link ωHas different characteristics, e when phase hit takes place ωHave steeper rising edge, during the sudden change of input signal amplitude, e ωCan produce precipitous rising edge equally, this specific character can be used for rejecting and disturb, and guarantees the accuracy of frequency detecting.Specific practice is: the disturbance threshold value v that sets a power system voltage or electric current Th, to the e of above-mentioned steps (6) ωTake absolute value, differentiate again obtains the 5th calculated value, with the 5th calculated value and disturbance threshold value v ThCompare, if the 5th calculated value is greater than v Th, the T after the disturbance then bConstantly, make e ωBe 0, if the 5th calculated value is less than or equal to v Th, e then ωRemain unchanged, wherein T bBe the disturbance shielding time;
(8) to the e of above-mentioned steps (7) ωCarry out proportional integral, obtain the detected value of power system voltage signal or current signal angular frequency
Figure BDA0000105940130000057
(9) to above-mentioned steps (8)
Figure BDA0000105940130000058
Carry out integration, obtain the required phase place of Parker conversion
Figure BDA0000105940130000059
(10) make the initial phase detected value of above-mentioned steps (5)
Figure BDA00001059401300000510
With above-mentioned steps (9)
Figure BDA00001059401300000511
Addition obtains the detected value θ of power system voltage signal or current signal phase place;
(11) use the power system voltage signal of step (5) or the detected value of current signal initial phase
Figure BDA00001059401300000512
And the required phase place of Parker conversion of step (9) The detection to voltage signal in the electric system or current signal frequency and phase place is realized in repeating step (1)~(10).
By simulation result as can be seen:
1, no matter be to contain harmonic wave in the voltage, still the voltage signal that causes because of electric network fault is asymmetric, the present invention can both detect the phase place of input signal fundamental positive sequence exactly, when Figure 5 shows that input three-phase voltage symmetry and not containing harmonic wave, uses the inventive method to detect the phase place that obtains.Figure 6 shows that when the input three-phase voltage contains harmonic wave, use the inventive method to detect the phase place that obtains.Figure 7 shows that when the input three-phase voltage contains harmonic wave, use the inventive method to detect the phase place that obtains.
2, when input voltage signal phase place generation saltus step, only need just can to detect exactly about 10ms the phase place after the variation, as shown in Figure 8; When the input voltage signal frequency changes, need just can detect frequency exactly about 30ms.Shown in Figure 9 is to import the three-phase voltage frequency when 20ms increases by 1 hertz constantly, uses the inventive method to detect the frequency that obtains.

Claims (1)

1. method that detects voltage signal in the electric system or current signal frequency and phase place is characterized in that this method comprises following each step:
(1) utilize the voltage signal or the current signal of sensor acquisition electric system: if electric system is a three-phase system, the signal of collection is designated as v a, v b, v c, utilize the Clarke conversion with v a, v b, v cBe transformed to two paths of signals v α, v βIf electric system is a monophase system, the signal of collection is designated as v In, and with v InAs signal v α, utilize Hilbert transform to obtain signal v β
(2) establish the required phase place of Parker conversion
Figure FDA00003093133700011
Initial value be 0, to above-mentioned two paths of signals v α, v βCarry out the Parker conversion and obtain signal v D1, v Q1
(3) according to above-mentioned signal v D1, v Q1, calculate v D1With v D1Time-delay The mean value v of back signal D2, calculate v D2With v D2Time-delay The mean value v of back signal D3, calculate v D3With v D3Time-delay
Figure FDA00003093133700014
After signal averaging v D4, calculate v D4With v D4Time-delay
Figure FDA00003093133700015
After the signal v that averages D5, to v D5Carry out low-pass filtering, obtain v dCalculate v Q1With v Q1Time-delay
Figure FDA000030931337000117
The mean value v of back signal Q2, calculate v Q2With v Q2Time-delay
Figure FDA000030931337000118
The mean value v of back signal Q3, calculate v Q3With v Q3Time-delay After signal averaging v Q4, calculate v Q4With v Q4Time-delay
Figure FDA000030931337000119
After the signal v that averages Q5, to v Q5Carry out low-pass filtering, obtain v q, wherein Power frequency period for electric system;
(4) establish the initial phase detected value of power system voltage signal or current signal
Figure FDA00003093133700018
Initial value be 0, the v that above-mentioned steps (3) is obtained dWith
Figure FDA00003093133700019
Sine value multiply each other, obtain first calculated value, the v that above-mentioned steps (3) is obtained qWith Cosine value multiply each other, obtain second calculated value, second calculated value is deducted first calculated value, obtain the actual value of power system voltage signal or current signal initial phase
Figure FDA000030931337000111
With the initial phase detected value
Figure FDA000030931337000112
Error, be designated as
(5) right
Figure FDA000030931337000114
Carry out proportional integral, obtain the initial phase detected value
Figure FDA000030931337000115
(6) to the v of above-mentioned steps (3) dDifferentiate makes v dDerivative and the v of above-mentioned steps (3) qMultiply each other, obtain the 3rd calculated value, to the v of above-mentioned steps (3) qDifferentiate makes v qDerivative and the v of above-mentioned steps (3) dMultiply each other, obtain the 4th calculated value, the 3rd calculated value deducts the 4th calculated value, obtains the detected value of power system voltage signal or current signal angular frequency actual value ω and angular frequency
Figure FDA000030931337000116
Error, be designated as e ω
(7) the disturbance threshold value v of power system voltage of setting or electric current Th, to the e of above-mentioned steps (6) ωTake absolute value, differentiate again obtains the 5th calculated value, with the 5th calculated value and disturbance threshold value v ThCompare, if the 5th calculated value is greater than v Th, the T after the disturbance then bConstantly, make e ωBe 0, if the 5th calculated value is less than or equal to v Th, e then ωRemain unchanged, wherein T bBe the disturbance shielding time;
(8) to the e of above-mentioned steps (7) ωCarry out proportional integral, obtain the detected value of power system voltage signal or current signal angular frequency
Figure FDA00003093133700021
(9) to above-mentioned steps (8)
Figure FDA00003093133700022
Carry out integration, obtain the required phase place of Parker conversion
Figure FDA00003093133700023
(10) make the initial phase detected value of above-mentioned steps (5)
Figure FDA00003093133700024
The required phase place of Parker conversion with above-mentioned steps (9)
Figure FDA00003093133700025
Addition obtains the detected value θ of power system voltage signal or current signal phase place;
(11) use the power system voltage signal of step (5) or the detected value of current signal initial phase
Figure FDA00003093133700026
And the required phase place of Parker conversion of step (9)
Figure FDA00003093133700027
The detection to voltage signal in the electric system or current signal frequency and phase place is realized in repeating step (1)~(10).
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CN102809688B (en) * 2012-07-13 2014-08-13 中冶南方工程技术有限公司 Method for calculating three-phase voltage real-time phase based on Iterative Fourier transform
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CN103344815B (en) * 2013-06-08 2015-08-19 中国农业大学 A kind of measurement of electric parameter method and system of wide region change
CN104280610B (en) * 2014-10-10 2017-03-29 深圳晶福源科技股份有限公司 A kind of method of phaselocked loop machine and its detection mains frequency
CN104535836B (en) * 2014-12-29 2017-05-10 广东电网有限责任公司电力科学研究院 Electric signal fundamental frequency measuring method and system
CN105445547B (en) * 2015-07-09 2018-05-25 深圳市科润宝实业有限公司 The frequency detecting method and system of sinusoidal signal
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CN105467207B (en) * 2016-01-19 2019-07-19 江苏省电力公司电力科学研究院 A kind of high-accuracy voltage power frequency measuring system and method based on intelligent substation
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CN106680583B (en) * 2016-12-27 2019-03-29 东南大学 A kind of method of non-equilibrium power system frequency estimation
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