CN109066698A - A kind of calculation method of network voltage instantaneous phase angle - Google Patents
A kind of calculation method of network voltage instantaneous phase angle Download PDFInfo
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- CN109066698A CN109066698A CN201810916502.7A CN201810916502A CN109066698A CN 109066698 A CN109066698 A CN 109066698A CN 201810916502 A CN201810916502 A CN 201810916502A CN 109066698 A CN109066698 A CN 109066698A
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Classifications
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for AC mains or AC distribution networks
- H02J3/12—Circuit arrangements for AC mains or AC distribution networks for adjusting voltage in AC networks by changing a characteristic of the network load
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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Abstract
The invention discloses a kind of calculation methods of network voltage instantaneous phase angle, it is related to electric field, this method utilizes the sine value and cosine value of the instantaneous network voltage of three-phase, theoretical network voltage instantaneous phase angle is acquired by sin cos functions and antitrigonometric function, and the network voltage instantaneous phase angle of the current period after correction is finally accurately acquired using the Iterative-Filtering Scheme based on several history cycles.Compare the prior art, and this method is simple, and avoiding, which leads to calculate because sampling inaccuracy the network voltage instantaneous phase angle obtained, generates biggish error, and improves the accuracy of network voltage instantaneous phase angle calculating.
Description
Technical field
The present invention relates to electric field more particularly to a kind of calculation methods of network voltage instantaneous phase angle, are suitable for root
The instantaneous network voltage of three-phase of several history cycles obtained according to sampling accurately acquires the applied field of network voltage instantaneous phase angle
It closes.
Background technique
In applications such as generations of electricity by new energy, it is desirable that control system can quickly and accurately detect grid voltage amplitude
With instantaneous phase angle, accurate electric network information is timely feedbacked for control system, and interference rejection ability is strong, fast response time.Currently,
Power grid phase sequence and phase-angle detection mostly use greatly hardware phase-locked-loop and software phase-lock loop method, and hardware phase-locked-loop generally uses power grid electric
Zero-tracking mains frequency is pressed through, then calculates grid phase angle with frequency multiplication phase lock circuitry.Software phase-lock loop is also based on capture
Then zero crossing pulse in hardware phase lock high precision carries out the network voltage instantaneous phase angle of a series of locking phases calculating and triangle sine and cosine value
It calculates.
Since power grid is a fractional frequency change, and three-phase voltage is not ideal sine wave, especially in industrial environment,
Under the influence of a large amount of capacitives, inductive load and diode, intergranular pipe rectification load, certain distortion can occur for network wave, cause
Simple anti-triangulo operation can not be precisely calculated the phase angle and frequency of power grid.Network voltage instantaneous phase is sought existing
In the method at angle, calculating process is often more complicated, and the response time is longer and computationally intensive, implement it is relatively difficult, and
And due to the presence of sampling error, cause obtained network voltage instantaneous phase angle often with the actual instantaneous phase angle of power grid
There are certain deviations.
Summary of the invention
The invention proposes a kind of calculation methods of network voltage instantaneous phase angle, to use simple calculation method,
According to the sine and cosine value of the instantaneous network voltage of the three-phase of several history cycles accurately calculate it is corrected after current period
Network voltage instantaneous phase angle, avoid because sample inaccuracy due to cause calculate obtain network voltage instantaneous phase angle generate compared with
Big error improves the accuracy and rapidity of calculated result.
The present invention through the following technical solutions to achieve the above objectives:
A kind of calculation method of network voltage instantaneous phase angle, comprising the following steps:
Step 1. obtains network voltage according to coordinate transform using voltage sensor detection three-phase power grid voltage instantaneous value
Instantaneous network voltage component under two-phase stationary coordinate system；
Instantaneous network voltage component of the step 2. according to network voltage under two-phase stationary coordinate system, is calculated by vector correlation
The sine value and cosine value of the instantaneous network voltage of three-phase out；
It is currently all to acquire the instantaneous network voltage of three-phase according to the sine value and cosine value of the instantaneous network voltage of three-phase for step 3.
The instantaneous phase angle theoretical value of the instantaneous phase angle theoretical value of phase and the preceding n continuous sampling period adjacent with current period；
Step 4. is according to the instantaneous phase angle theoretical value and the instantaneous phase in adjacent preceding n continuous sampling period of current period
Parallactic angle theoretical value calculates the network voltage wink of the current period after correction using the Iterative-Filtering Scheme based on several history cycles
When phase angle.
Further, in the step 3, according to the sine value and cosine value of the instantaneous network voltage of three-phase, by judging three
Mutually instantaneous network voltage sine value and cosine value is positive and negative, so that it is determined that quadrant locating for network voltage instantaneous phase angle θ, by the
Two, turned under the third and fourth quadrant according to the operation that the instantaneous network voltage sine and cosine value of three-phase calculates network voltage instantaneous phase angle
Change into first quartile, according to the transformational relation between SIN function and cosine function, by antitrigonometric function table using linear
Interpolation method acquires network voltage instantaneous phase angle, specifically includes the following steps:
Step 3.1. judges the sine value of the instantaneous network voltage of three-phase and positive and negative, the acquisition instantaneous phase of network voltage of cosine value
Quadrant locating for parallactic angle；
Step 3.2. is when network voltage instantaneous phase angle is in first quartile, according to the value model of sine value and cosine value
It encloses, determines the value range at phase angle: when phase angle value range is θ ∈ (0, π/4), then according to antitrigonometric function table using line
Property difference approach acquire network voltage instantaneous phase angle, when phase angle value range be θ ∈ (π/4, pi/2), then utilize cosine value
Arcsin function value calculate network voltage instantaneous phase angle；
Step 3.3. when network voltage instantaneous phase angle be in second and third, four-quadrant, just to the instantaneous network voltage of three-phase
String value and cosine value take absolute value, will be under second, third and fourth quadrant using the transformational relation between SIN function and cosine
It is transformed into first quartile according to the operation that the sine and cosine value of the instantaneous network voltage of three-phase calculates network voltage instantaneous phase angle；
Further, in the step 3.2, when phase angle value range is (0, π/4) θ ∈, the instantaneous phase of network voltage
Parallactic angle meets θ=arcsin y, in formula, y=sin θ.
Further, in the step 3.2, when phase angle value range is θ ∈ (π/4, pi/2), network voltage is instantaneous
Phase angle meets: θ=arcsin y=90 °-arcsin x, in formula, y=sin θ, x=cos θ.
Further, in the step 3.3, the operation of network voltage instantaneous phase angle meets:
Further, the step 4 calculates the current period after correction based on the Iterative-Filtering Scheme of several history cycles
Network voltage instantaneous phase angle method are as follows:
In formula,For the network voltage instantaneous phase angle of the current period after correction；△ θ is the theory in a sampling period
Angle value, i.e. the instantaneous phase angle difference of adjacent periods；θn(n=0,1,2,3 ...) i.e. θ0,θ1,θ2,θ3……,θn, it is power grid electricity
Press the instantaneous phase angle theoretical value and the instantaneous phase angle theoretical value in adjacent preceding n continuous sampling period of current period.
The principle of the present invention are as follows: by the instantaneous network voltage sine value of three-phase and cosine value, acquire the instantaneous power grid electricity of three-phase
Press the instantaneous phase angle theoretical value and the instantaneous phase angle in the preceding n continuous sampling period adjacent with current period reason of current period
It is corrected by value, then using the Iterative-Filtering Scheme based on several history cycles, obtains the instantaneous phase of current period network voltage
The actual value of parallactic angle.This method is mainly to realize that method compares by the Iterative-Filtering Scheme based on several history cycles
Simply, the accuracy of calculated result is improved.Avoid in existing method that calculation method is complicated, arithmetic speed is slow and can not eliminate
Sampling is inaccurate and the phase angle for calculating acquisition is caused to lead to the problem of large error.
Compare the prior art, the present invention has the advantages that realizing that simple, accuracy is high, arithmetic speed is fast.
Detailed description of the invention
Fig. 1 is the calculation flow chart of network voltage instantaneous phase angle of the present invention；
Fig. 2 is the confirmatory experiment waveform diagram for being phase angle in network voltage wink of the present invention.
Specific embodiment
The application is described in further detail with reference to the accompanying drawing, it is necessary to it is indicated herein to be, implement in detail below
Mode is served only for that the application is further detailed, and should not be understood as the limitation to the application protection scope, the field
Technical staff can make some nonessential modifications and adaptations to the application according to above-mentioned application content.
Embodiment 1
A kind of calculation method of network voltage instantaneous phase angle is present embodiments provided, as shown in Figure 1, including following step
It is rapid:
Step 1. obtains the three-phase power grid voltage instantaneous value e that voltage sensor detects by sampling unita, ebAnd ec, root
Instantaneous network voltage component e of the network voltage under two-phase stationary coordinate system is obtained according to the coordinate transformation method that (1) formula providesα,
eβ；
Step 2. is obtained the sine value sin θ and cosine value cos θ of the instantaneous network voltage of three-phase by (2) formula；
It is currently all to acquire the instantaneous network voltage of three-phase according to the sine value and cosine value of the instantaneous network voltage of three-phase for step 3.
The instantaneous phase angle theoretical value of the instantaneous phase angle theoretical value of phase and the preceding n continuous sampling period adjacent with current period, step
Suddenly include:
Step 3.1. judges the positive and negative of the instantaneous network voltage sine value of three-phase and cosine value, determines network voltage instantaneous phase
AngleLocating quadrant.When working as sin θ > 0, cos θ > 0, θ ∈ (0, pi/2) is in first quartile；When working as sin θ>0, cos θ<0, θ
∈ (pi/2, π) is in the second quadrant；As sin θ < 0, cos θ < 0, θ ∈ (π, 3 pi/2s) is in third quadrant；When sin θ < 0, cos
When θ > 0, θ ∈ (3 pi/2s, 2 π) is in fourth quadrant.
Step 3.2. is when network voltage instantaneous phase angle is in first quartile, according to the instantaneous network voltage sine value of three-phase
With the magnitude range of cosine value, the value range θ ∈ (0, π/4) or θ ∈ (π/4, pi/2) at phase angle are further determined that.
(1) when θ ∈ (0, π/4), the instantaneous network voltage sine value of three-phase and cosine value meet the value model that (3) formula provides
It encloses,
By θ=arcsin y, network voltage instantaneous phase is acquired using the method for linear interpolation by antitrigonometric function table
Angle
(2) when θ ∈ (π/4, pi/2), the instantaneous network voltage sine value of three-phase and cosine value meet the value that (4) formula provides
Range,
In this section, SIN function and cosine function meet sin θ=cos (90 ° of-θ), obtain network voltage by (5) formula
Instantaneous phase angle
θ=arcsin y=90 °-arcsin x (5)
Arcsin y is calculated using linear interpolation method by antitrigonometric function table, further acquires network voltage wink
When phase angle
It when step 3.3. works as θ ∈ (pi/2,2 π), takes absolute value, utilizes to the instantaneous network voltage sine value of three-phase and cosine value
The transformational relation met between sinusoidal absolute value and cosine absolute value, will be instantaneous according to three-phase under second, third and fourth quadrant
The operation that network voltage sine and cosine value calculates network voltage instantaneous phase angle is transformed into first quartile.
(1) as θ ∈ (pi/2, π), the absolute value of the instantaneous network voltage sine value of three-phase and cosine value meets (6) formula and provides
Relationship,
In this section, the transformational relation between SIN function and cosine function meets sin θ=cos (θ -90 °), by (7)
Formula obtains network voltage instantaneous phase angle
θ=180 °-arcsin y=180 °-arccos (- x) (7)
Arcsin y is calculated using linear interpolation method by antitrigonometric function table, further acquires network voltage wink
When phase angle
(2) when θ ∈ (π, 3 pi/2s), the absolute value of the instantaneous network voltage sine value of three-phase and cosine value meets (8) formula and gives
Relationship out:
In this section, the transformational relation between SIN function and cosine function meets sin θ=cos (θ -90 °), by (9)
Formula obtains network voltage instantaneous phase angle
θ=180 °+arcsin (- y)=180 ° of+arccos (- x) (9)
Arcsin (- y) is calculated using linear interpolation method by antitrigonometric function table, further acquires network voltage
Instantaneous phase angle
(3) as θ ∈ (3 pi/2s, 2 π), the absolute value of the instantaneous network voltage sine value of three-phase and cosine value meets (10) formula
The relationship provided:
In this section, the transformational relation between SIN function and cosine function meets sin θ=cos (θ -90 °), by
(11) formula obtains network voltage instantaneous phase angle
θ=360 °-arcsin (- y)=360 ° of-arccos (x) (11)
Arcsin (- y) is calculated using linear interpolation method by antitrigonometric function table, further acquires network voltage
Instantaneous phase angleThe instantaneous phase angle that the step obtains is theoretical value, since power grid wave can be distorted and sampling error
In the presence of theoretical value and actual value often have deviation.
Step 4. calculates separately the instantaneous phase for obtaining the instantaneous network voltage current period of three-phase according to the method for step 3
Angle theoretical value θ0With the instantaneous phase angle theoretical value in adjacent preceding n continuous sampling period, successively indicated forward by current period
For θ1,θ2,θ3……,θn, according to θ0,θ1,θ2,θ3……,θn, the iterative filtering based on several history cycles is obtained by formula (12)
Algorithm acquires the network voltage instantaneous phase angle of corrected rear current periodThe network voltage of as current period is instantaneous
Phase angle actual value:
Wherein, △ θ is the point of theory value in a sampling period, and the phase angle in adjacent two period meets θn+1=θn+△θ
(n=0,1,2,3,4 ...).
Fig. 2 gives phase angle of the present inventionConfirmatory experiment waveform diagram, in figureIt is (each for given phase angle
PWM cycle adds 1/32 degree), it willSin θ is obtained by the sine and cosine value linear interpolation function operation at phase angle*With cos θ*, and
Network voltage instantaneous phase angle is calculated according to sine and cosine value afterwards, and using changing based on several history cycles proposed by the present invention
For filtering algorithm, the network voltage instantaneous phase angle of corrected rear current period is obtainedAs can be seen from the figure it gives
Phase angleWith the actual phase angle obtained after use the method for the present inventionPhase and amplitude be consistent.
The embodiments described above only express several embodiments of the present invention, and the description thereof is more specific and detailed, but simultaneously
Limitations on the scope of the patent of the present invention therefore cannot be interpreted as.It should be pointed out that for those of ordinary skill in the art
For, without departing from the inventive concept of the premise, multiple modification and improvement can also be made, these belong to guarantor of the invention
Protect range.
Claims (6)
1. a kind of calculation method of network voltage instantaneous phase angle, which comprises the following steps:
Step 1. obtains network voltage two according to coordinate transform using voltage sensor detection three-phase power grid voltage instantaneous value
Instantaneous network voltage component under phase rest frame；
Instantaneous network voltage component of the step 2. according to network voltage under two-phase stationary coordinate system, calculates three by vector correlation
The mutually sine value and cosine value of instantaneous network voltage；
Step 3. acquires the instantaneous network voltage current period of three-phase according to the sine value and cosine value of the instantaneous network voltage of three-phase
The instantaneous phase angle theoretical value of instantaneous phase angle theoretical value and the preceding n continuous sampling period adjacent with current period；
Step 4. is according to the instantaneous phase angle theoretical value and the instantaneous phase angle in adjacent preceding n continuous sampling period of current period
Theoretical value calculates the instantaneous phase of network voltage of the current period after correction using the Iterative-Filtering Scheme based on several history cycles
Parallactic angle.
2. a kind of calculation method of network voltage instantaneous phase angle according to claim 1, which is characterized in that the step
3, according to the sine value and cosine value of the instantaneous network voltage of three-phase, acquire the theoretical instantaneous phase angle of the instantaneous network voltage of three-phase
Method, comprising the following steps:
Step 3.1. judges the sine value of the instantaneous network voltage of three-phase and positive and negative, the acquisition network voltage instantaneous phase angle of cosine value
Locating quadrant；
Step 3.2. is when network voltage instantaneous phase angle is in first quartile, according to the value range of sine value and cosine value,
Determine the value range at phase angle: when phase angle value range is θ ∈ (0, π/4), then according to antitrigonometric function table using linear
Difference approach acquires network voltage instantaneous phase angle, when phase angle value range is θ ∈ (π/4, pi/2), then using cosine value
Arcsin function value calculates network voltage instantaneous phase angle；
Step 3.3. when network voltage instantaneous phase angle be in second and third, four-quadrant, to the sine value of the instantaneous network voltage of three-phase
It takes absolute value with cosine value, using the transformational relation between SIN function and cosine, by basis under second, third and fourth quadrant
The operation that the sine and cosine value of the instantaneous network voltage of three-phase calculates network voltage instantaneous phase angle is transformed into first quartile.
3. a kind of calculation method of network voltage instantaneous phase angle according to claim 2, which is characterized in that the step
In 3.2, when phase angle value range is (0, π/4) θ ∈, network voltage instantaneous phase angle meets θ=arcsiny, in formula, y
=sin θ.
4. a kind of calculation method of network voltage instantaneous phase angle according to claim 2, which is characterized in that the step
In 3.2, when phase angle value range is θ ∈ (π/4, pi/2), network voltage instantaneous phase angle meets: θ=arcsiny=
90 ° of-arcsinx, in formula, y=sin θ, x=cos θ.
5. a kind of calculation method of network voltage instantaneous phase angle according to claim 2, which is characterized in that the step
In 3.3, the operation of network voltage instantaneous phase angle meets:
6. a kind of calculation method of network voltage instantaneous phase angle according to claim 1, which is characterized in that the step
The method that 4 Iterative-Filtering Schemes based on several history cycles calculate the network voltage instantaneous phase angle of the current period after correction
Are as follows:
In formula,For the network voltage instantaneous phase angle of the current period after correction；△ θ is the point of theory in a sampling period
Value, i.e. the instantaneous phase angle difference of adjacent periods；θn(n=0,1,2,3 ...) i.e. θ0,θ1,θ2,θ3……,θn, work as network voltage
The instantaneous phase angle theoretical value of the instantaneous phase angle theoretical value in preceding period and adjacent preceding n continuous sampling period.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN114167135A (en) * | 2021-11-19 | 2022-03-11 | 青岛仪迪电子有限公司 | Voltage and current phase angle discrimination method for power meter |
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| CN101408568A (en) * | 2007-10-12 | 2009-04-15 | 深圳科士达科技股份有限公司 | Method and device for measuring electrical signal phase of alternating current |
| CN101882799A (en) * | 2010-06-24 | 2010-11-10 | 上海交通大学 | Control method of alternating voltage sensorless high voltage direct current transmission converter |
| CN104181374A (en) * | 2014-08-08 | 2014-12-03 | 合肥工业大学 | Method for detecting and separating positive and negative sequence components of grid voltage of three-phase neutral-line-free system |
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2018
- 2018-08-13 CN CN201810916502.7A patent/CN109066698B/en active Active
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN101408568A (en) * | 2007-10-12 | 2009-04-15 | 深圳科士达科技股份有限公司 | Method and device for measuring electrical signal phase of alternating current |
| CN101882799A (en) * | 2010-06-24 | 2010-11-10 | 上海交通大学 | Control method of alternating voltage sensorless high voltage direct current transmission converter |
| CN104181374A (en) * | 2014-08-08 | 2014-12-03 | 合肥工业大学 | Method for detecting and separating positive and negative sequence components of grid voltage of three-phase neutral-line-free system |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN114167135A (en) * | 2021-11-19 | 2022-03-11 | 青岛仪迪电子有限公司 | Voltage and current phase angle discrimination method for power meter |
| CN114167135B (en) * | 2021-11-19 | 2023-07-21 | 青岛仪迪电子有限公司 | Voltage-current phase angle distinguishing method for power meter |
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