CN110069984A - One-variable linear regression frequency measuring method, electronic equipment and storage medium - Google Patents
One-variable linear regression frequency measuring method, electronic equipment and storage medium Download PDFInfo
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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
- G01R23/02—Arrangements for measuring frequency, e.g. pulse repetition rate; Arrangements for measuring period of current or voltage
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2218/00—Aspects of pattern recognition specially adapted for signal processing
- G06F2218/08—Feature extraction
- G06F2218/10—Feature extraction by analysing the shape of a waveform, e.g. extracting parameters relating to peaks
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Abstract
The invention discloses one-variable linear regression frequency measuring method, include the following steps: the sinusoidal signal for obtaining DC charging motor input voltage, the sinusoidal signal of dead-center position is subjected to linearization process；The sinusoidal signal of dead-center position is defined as about the linear function of time t and being superimposed for random parameter；The sinusoidal signal of dead-center position is converted into discrete digital signal, to obtain the sampling of sinusoidal signal value of several dead-center positions；Regression analysis is carried out to the sampling of sinusoidal signal value, to obtain the best estimate of parametric variable in the linear function about time t；The best time estimated value when sinusoidal signal zero crossing position is calculated according to the best estimate.The present invention, which avoids traditional zero-crossing examination method using the method for linear regression, will receive the unstable characteristic of the longer measurement result of filtering time caused by the reasons such as Harmonious Waves in Power Systems, noise and interference, frequency computational accuracy is improved, and more accurate to the zero crossing position acquisition of actual signal.
Description
Technical field
The present invention designs the accurate survey that a kind of one-variable linear regression Frequency Measurement Algorithm is applied to DC charging motor input source frequency
Amount.
Background technique
Currently, the non-vehicle-mounted type DC charging motor in market all has the high feature of charge power, common integral type direct current
Charger power is differed from 30kw to 210kw, and the more power of charger quantity at direct current charge station are big and concentrate, if more are filled
Motor, which works at the same time, will cause network load increase, causes system active power insufficient, as a result generator speed is caused to decline, electricity
Net frequency reduces；On the contrary, it is superfluous that it will cause system active power if network load reduces, as a result lead to generator speed
Rise, mains frequency increases.If wanting to make mains frequency to revert to rated frequency operation at this time, generator prime machine need to increase or
The input power of reduction, or network load is made to generate variation, i.e., charger, which has, changes output power according to mains frequency fluctuation
Ability.
But currently existing scheme has the following deficiencies:
Mains frequency has many detection methods as important performance characteristic at present, and wherein cross zero detecting method is a kind of letter
Single practical, very widely used frequency measurement method.Its principle be by judge the time difference of two zero crossing of sinusoidal signal come
Obtain frequency.But reality is in the application, since signal contains harmonic wave, by reasons such as ambient noise interferences, causes to measure reality
Border signal zero-crossing positional fluctuation limits the application of this method so that the frequency error actually calculated is bigger than normal.Currently on the market
Most DC charging motors will not change output power in frequency fluctuation.
Summary of the invention
For overcome the deficiencies in the prior art, one of the objects of the present invention is to provide one-variable linear regression frequency measuring method,
Its prior art that can solve has deviation to dead-center position accuracy, is unable to adjust output power problem.
The second object of the present invention is to provide a kind of electronic equipment, and the prior art that can solve is accurate to dead-center position
Degree has deviation, is unable to adjust output power problem.
The third object of the present invention is to provide a kind of computer readable storage medium, and the prior art that can solve is to zero
Point position accuracy has deviation, is unable to adjust output power problem.
An object of the present invention adopts the following technical scheme that realization:
One-variable linear regression frequency measuring method, which comprises the steps of:
Linear process step: obtaining the sinusoidal signal of DC charging motor input voltage, by the sinusoidal letter of dead-center position
Number carry out linearization process；
Function superposition step: the sinusoidal signal of dead-center position is defined as about the linear function of time t and random
The superposition of parameter；
Signal switch process: the sinusoidal signal of dead-center position is converted into discrete digital signal, to obtain several
The sampling of sinusoidal signal value of dead-center position；
Regression analysis step: regression analysis is carried out to the sampling of sinusoidal signal value, to obtain the linear letter about time t
The best estimate of parametric variable in number；
Time valuation step: the best time when sinusoidal signal zero crossing position is calculated according to the best estimate
Estimated value.
Further, sinusoidal signal u (t)=at+b+ ε of dead-center position is defined in function superposition step, wherein at+b
For the linear function about time t, a and b are parametric variable, and ε is random number.
Further, the sampling of sinusoidal signal value of several dead-center positions is (t in signal switch processi, ui), i=1,
2 ... ..., n.
Further, in regression analysis step, best estimate is obtained especially by following steps:
In regression analysis step, best estimate is obtained especially by following manner:
Pass through formula u (t)=at+b+ ε and sampling of sinusoidal signal value (ti, ui) be calculatedAnd
DefinitionWhenMoment best estimate can then be calculated WhereinFor the best estimate of a,For the best estimate of b,For the best estimate of u.
The second object of the present invention adopts the following technical scheme that realization:
A kind of electronic equipment including memory, processor and stores the meter that can be run on a memory and in processor
Calculation machine program, the processor perform the steps of when executing the computer program
Linear process step: obtaining the sinusoidal signal of DC charging motor input voltage, by the sinusoidal letter of dead-center position
Number carry out linearization process；
Function superposition step: the sinusoidal signal of dead-center position is defined as about the linear function of time t and random
The superposition of parameter；
Signal switch process: the sinusoidal signal of dead-center position is converted into discrete digital signal, to obtain several
The sampling of sinusoidal signal value of dead-center position；
Regression analysis step: regression analysis is carried out to the sampling of sinusoidal signal value, to obtain the linear letter about time t
The best estimate of parametric variable in number；
Time valuation step: the best time when sinusoidal signal zero crossing position is calculated according to the best estimate
Estimated value.
Further, sinusoidal signal u (t)=at+b+ ε of dead-center position is defined in function superposition step, wherein at+
B is the linear function about time t, and a and b are parametric variable, and ε is random number.
Further, the sampling of sinusoidal signal value of several dead-center positions is (t in signal switch processi, ui), i=1,
2 ... ..., n.
Further, in regression analysis step, best estimate is obtained especially by following manner:
Pass through formula u (t)=at+b+ ε and sampling of sinusoidal signal value (ti, ui) be calculatedAnd
DefinitionWhenMoment best estimate can then be calculated WhereinFor the best estimate of a,For the best estimate of b,For the best estimate of u.
The third object of the present invention adopts the following technical scheme that realization:
A kind of computer readable storage medium, is stored thereon with computer program, and the computer program is held by processor
One-variable linear regression frequency measuring method described in the above-mentioned any one of row.
Compared with prior art, the beneficial effects of the present invention are
The present invention avoids traditional zero-crossing examination method using the method for linear regression and will receive Harmonious Waves in Power Systems, makes an uproar
The unstable characteristic of the longer measurement result of filtering time caused by the reasons such as sound and interference, improves frequency computational accuracy, and
It is more accurate to the zero crossing position acquisition of actual signal.
Detailed description of the invention
Fig. 1 is the flow chart of one-variable linear regression frequency measuring method of the invention；
Fig. 2 is the frequency waveform diagram that frequency is 50Hz；
Fig. 3 is charger downslope time figure.
Specific embodiment
In the following, being described further in conjunction with attached drawing and specific embodiment to the present invention, it should be noted that not
Under the premise of conflicting, new implementation can be formed between various embodiments described below or between each technical characteristic in any combination
Example.
Embodiment one
As shown in Figure 1, the so-called dead-center position of the present invention exists the present invention provides a kind of one-variable linear regression frequency measuring method
It include zero crossings position in practical application.The present invention be based on sinusoidal signal zero crossings can approximate linearization it is substantially former
The signal value of near zero-crossing point is carried out simple linear regression analysis, is somebody's turn to do by reason after detecting that signal crosses zero position roughly
Intercept of the signal on time axial coordinate, as the signal zero-crossing moment, simple linear regression analysis are believed zero crossings
It is number for statistical analysis, while analyzing the result signal statistics analysis method based on principle of least square method again, i.e., it is calculated
Result out meets error sum of squares minimum relationship.Specifically comprise the following steps:
S1: obtaining the sinusoidal signal of DC charging motor input voltage, the sinusoidal signal of dead-center position is carried out linear
Change processing；
SIN function is decomposed into the form of power series:When signal zero is attached
When nearly x value very little, it is approximately sinx ≈ x that high-order term formula, which can be ignored,.If approximate expression is required to be less than or be waited with true value relative error
In 0.1%, then the radian value range of x is x ∈ [- 0.0774,0.0774].
S2: the sinusoidal signal of dead-center position is defined as about the linear function of time t and being superimposed for random parameter；
In electric system, voltageMacroscopic view sees, system voltage waveform, amplitude and time variable
T is sinusoidal functional relation, generally belongs to deterministic dependence, and zero crossings can local linearization；But due to electrically making an uproar
The influence of sound and system interference, the parameter voltages U of the SIN functionm, frequency f and phaseIt is all to obey a fixed distribution function
Stochastic variable causes system that certain randomness is presented in local features such as zero crossing times.Therefore, we can be detected letter
Number u (t) is regarded as in the observation result of zero crossings and is formed by stacking by two parts: a part causes by the linear function of time t,
It is denoted as at+b；Another part is to be denoted as the sinusoidal letter that u (t)=at+b+ ε, u (t) is dead-center position as caused by enchancement factor
Number, at+b is the linear function about time t, and a and b are parametric variable, and ε is random number.Parametric variable a and b is mainly in formula
It is determined by the mathematical expectation of the voltage of signal, frequency, phase three's stochastic variable；For random number ε, it is to cause signal mistake
Crossing point jitter, or even repeat the principal element of zero passage.
S3: the sinusoidal signal of dead-center position is converted into discrete digital signal, to obtain several dead-center positions
Sampling of sinusoidal signal value；
U (t) is analog signal, in digital detection system, is usually sampled as analog signal u (t) by analog-to-digital conversion
Discrete digital signal, borrow statistics in data regression thought, using n sampled value near tested signal zero as
Independent observation sample.The sampling of sinusoidal signal value of several dead-center positions is (ti, ui), i=1,2 ... ..., n carry out unitary line
Property regression analysis, obtains the best estimate of formula parametric variable a, b.
S4: carrying out regression analysis to the sampling of sinusoidal signal value, is become with obtaining parameter in the linear function about time t
The best estimate of amount；
Pass through formula u (t)=at+b+ ε and sampling of sinusoidal signal value (ti, ui) be calculatedAnd
WhereinFor the best estimate of a,For the best estimate of b.
S5: the best time estimated value when sinusoidal signal zero crossing position is calculated according to the best estimate.
DefinitionWhenIt can then be calculated For the best estimate of u
The as best estimate zero-acrross ing moment value of current demand signal zero crossing.
In actual application, 80 points of the every cycle sampling number of power network signal, one-variable linear regression frequency measurement calculates point used
It can be even number that number n, which can be odd number,.Specific formula for calculation is as follows:
One-variable linear regression points n is the linear regression frequency measurement calculation formula of even number point are as follows:
One-variable linear regression counts n as surprise
The linear regression frequency measurement calculation formula of several points are as follows:
Taking n in practical applications is even number point convenient for programming realization.
Following table is the simulation result for using one-variable linear regression points to obtain for even number point.Observation linear regression frequency measurement obtains
Signal different frequency (40Hz~60Hz) measurement result and precision.Essential record offset signal actual frequency or so is maximum
Error.
Frequency is the frequency wave shape that 50Hz is calculated as shown in Fig. 2, output power changes according to frequency fluctuation, using frequency wave
Dynamic 0.5Hz power decline 10%, charger electric current decline as shown in Figure 3 are completed in 1s.
Embodiment two
Embodiment two discloses a kind of electronic equipment, including memory, processor and storage are on a memory and can be
The computer program of processor operation, the processor perform the steps of when executing the computer program
Linear process step: obtaining the sinusoidal signal of DC charging motor input voltage, by the sinusoidal letter of dead-center position
Number carry out linearization process；
Function superposition step: the sinusoidal signal of dead-center position is defined as about the linear function of time t and random
The superposition of parameter；
Signal switch process: the sinusoidal signal of dead-center position is converted into discrete digital signal, to obtain several
The sampling of sinusoidal signal value of dead-center position；
Regression analysis step: regression analysis is carried out to the sampling of sinusoidal signal value, to obtain the linear letter about time t
The best estimate of parametric variable in number；
Time valuation step: the best time when sinusoidal signal zero crossing position is calculated according to the best estimate
Estimated value.
Sinusoidal signal u (t)=at+b+ ε of dead-center position is defined in function superposition step, wherein at+b is about the time
The linear function of t, a and b are parametric variable, and ε is random number.The sinusoidal signal of several dead-center positions in signal switch process
Sampled value is (ti, ui), i=1,2 ... ..., n.
In regression analysis step, best estimate is obtained especially by following manner:
Pass through formula u (t)=at+b+ ε and sampling of sinusoidal signal value (ti, ui) be calculatedAnd
DefinitionWhenMoment best estimate can then be calculated WhereinFor the best estimate of a,For the best estimate of b,For the best estimate of u.
Embodiment three
Embodiment three discloses a kind of readable computer storage medium, which is somebody's turn to do for storing program
When program is executed by processor, the one-variable linear regression frequency measuring method of embodiment one is realized.
The above embodiment is only the preferred embodiment of the present invention, and the scope of protection of the present invention is not limited thereto,
The variation and replacement for any unsubstantiality that those skilled in the art is done on the basis of the present invention belong to institute of the present invention
Claimed range.
Claims (9)
1. one-variable linear regression frequency measuring method, which comprises the steps of:
Linear process step: obtain DC charging motor input voltage sinusoidal signal, by the sinusoidal signal of dead-center position into
Row linearization process；
Function superposition step: the sinusoidal signal of dead-center position is defined as the linear function and random parameter about time t
Superposition；
Signal switch process: the sinusoidal signal of dead-center position is converted into discrete digital signal, to obtain several zero points
The sampling of sinusoidal signal value of position；
Regression analysis step: regression analysis is carried out to the sampling of sinusoidal signal value, to obtain in the linear function about time t
The best estimate of parametric variable；
Time valuation step: the best time estimation when sinusoidal signal zero crossing position is calculated according to the best estimate
Value.
2. one-variable linear regression frequency measuring method as described in claim 1, which is characterized in that define zero point in function superposition step
The sinusoidal signal u (t) of position=at+b+ ε, wherein at+b is the linear function about time t, and a and b are parametric variable, and ε is
Random number.
3. one-variable linear regression frequency measuring method as claimed in claim 2, which is characterized in that in signal switch process several
The sampling of sinusoidal signal value of dead-center position is (ti, ui), i=1,2 ... ..., n.
4. one-variable linear regression frequency measuring method as claimed in claim 3, which is characterized in that in regression analysis step, obtain
Best estimate is especially by following manner:
Pass through formula u (t)=at+b+ ε and sampling of sinusoidal signal value (ti, ui) be calculated
And
DefinitionWhenMoment best estimate can then be calculated WhereinFor the best estimate of a,For the best estimate of b,For the best estimate of u.
5. a kind of electronic equipment including memory, processor and stores the calculating that can be run on a memory and in processor
Machine program, which is characterized in that the processor performs the steps of when executing the computer program
Linear process step: obtain DC charging motor input voltage sinusoidal signal, by the sinusoidal signal of dead-center position into
Row linearization process；
Function superposition step: the sinusoidal signal of dead-center position is defined as the linear function and random parameter about time t
Superposition；
Signal switch process: the sinusoidal signal of dead-center position is converted into discrete digital signal, to obtain several zero points
The sampling of sinusoidal signal value of position；
Regression analysis step: regression analysis is carried out to the sampling of sinusoidal signal value, to obtain in the linear function about time t
The best estimate of parametric variable；
Time valuation step: the best time estimation when sinusoidal signal zero crossing position is calculated according to the best estimate
Value.
6. electronic equipment as claimed in claim 5, which is characterized in that define the sinusoidal letter of dead-center position in function superposition step
Number u (t)=at+b+ ε, wherein at+b, a are the linear function about time t, and a and b are parametric variable, and ε is random number.
7. electronic equipment as claimed in claim 6, which is characterized in that several dead-center positions are being just in signal switch process
String signal sampled value is (ti, ui), i=1,2 ... ..., n.
8. electronic equipment as claimed in claim 7, which is characterized in that in regression analysis step, in regression analysis step,
Best estimate is obtained especially by following manner:
Pass through formula u (t)=at+b+ ε and sampling of sinusoidal signal value (ti, ui) be calculated
And
DefinitionWhenMoment best estimate can then be calculated WhereinFor the best estimate of a,For the best estimate of b,For the best estimate of u.
9. a kind of computer readable storage medium, is stored thereon with computer program, it is characterised in that: the computer program quilt
The one-variable linear regression frequency measuring method as described in claim 1-4 any one is realized when processor executes.
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Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101871965A (en) * | 2010-06-11 | 2010-10-27 | 威胜集团有限公司 | Method for detecting zero crossing time, frequency and phase difference of power sinusoidal signals |
| CN102542170A (en) * | 2012-01-16 | 2012-07-04 | 南京磐能电力科技股份有限公司 | Method for acquiring slip frequency difference of electric system |
| CN105044456A (en) * | 2015-07-21 | 2015-11-11 | 电子科技大学 | Power grid instantaneous frequency measuring and tracking method based on orthogonal sub-band |
| CN107834678A (en) * | 2017-08-17 | 2018-03-23 | 山东电工豪迈节能科技有限公司 | Application of the one-variable linear regression Frequency Measurement Algorithm in DC charging motor |
| CN109374966A (en) * | 2018-10-23 | 2019-02-22 | 国网重庆市电力公司电力科学研究院 | A kind of mains frequency estimation method |
-
2019
- 2019-03-11 CN CN201910179979.6A patent/CN110069984A/en active Pending
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101871965A (en) * | 2010-06-11 | 2010-10-27 | 威胜集团有限公司 | Method for detecting zero crossing time, frequency and phase difference of power sinusoidal signals |
| CN102542170A (en) * | 2012-01-16 | 2012-07-04 | 南京磐能电力科技股份有限公司 | Method for acquiring slip frequency difference of electric system |
| CN105044456A (en) * | 2015-07-21 | 2015-11-11 | 电子科技大学 | Power grid instantaneous frequency measuring and tracking method based on orthogonal sub-band |
| CN107834678A (en) * | 2017-08-17 | 2018-03-23 | 山东电工豪迈节能科技有限公司 | Application of the one-variable linear regression Frequency Measurement Algorithm in DC charging motor |
| CN109374966A (en) * | 2018-10-23 | 2019-02-22 | 国网重庆市电力公司电力科学研究院 | A kind of mains frequency estimation method |
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Application publication date: 20190730 |