CN102854381B - Error compensation method of active powers and reactive powers - Google Patents
Error compensation method of active powers and reactive powers Download PDFInfo
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Abstract
The invention relates to an error compensation method of active powers and reactive powers, belonging to the technical field of alternating circuit (AC) parameter measurement. The error compensation method comprises the following steps: performing average computation on sampled active powers and sampled reactive powers to obtain average active power and average reactive power; and performing offset error compensation, proportional error compensation and angle error compensation on the average active power and the average reactive power to obtain final active power output and final reactive power output. An active power offset error setting value, a reactive offset error setting value, a proportional error adjustment coefficient and an angle error adjustment coefficient are obtained by direct correction computation, so that each correction parameter can be computed and set accurately, offset errors caused by common-mode noises are compensated, and the compensation accuracy is high.
Description
Technical Field
The invention relates to an error compensation method for active power and reactive power, and belongs to the technical field of alternating current circuit parameter measurement.
Background
The proportional error of the voltage division circuit and the current transformer and the phase shift error of the current transformer are main errors of power and electric energy measurement, and the accuracy of a measurement result is directly influenced. Therefore, these systematic errors must be compensated for in power measurement and power metering to ensure the accuracy of the measurement. According to user manuals of high-precision multifunctional three-phase electric energy special metering chips ATT7022A and ATT7022B designed by torch power integrated circuit design limited company, the existing active and reactive error compensation method is shown in figure 1. The phase correction is arranged to adjust the instantaneous phase of the current by filtering after the current sample is high-pass filtered to remove the DC component. Then, multiplying the current after correcting the phase and the voltage signal which is only subjected to high-pass filtering to obtain instantaneous active power; and multiplying the voltage signals subjected to high-pass filtering and 90-degree phase-shift filtering to obtain instantaneous reactive power. And multiplying the instantaneous active power and the instantaneous reactive power by the proportional correction coefficient respectively, and finally outputting the measurement results of the active power and the reactive power through average calculation. Both the phase correction and the scale correction of this method deal with instantaneous values, but the instantaneous values are variations containing large fluctuations and will reach 0. In fixed-point operations, the multiplication result requires data truncation, and the relative error of data multiplication truncation close to 0 is far larger than that of data multiplication truncation far away from 0. This phenomenon can cause variations in the low-level data of the phase correction parameter or the proportional correction parameter of the prior art methods to cause an uneven power compensation adjustment. Therefore, the phase correction parameters or the proportion correction parameters are difficult to accurately calculate and set in the calibration process of the existing method, and in addition, the method is lack of compensation for offset errors caused by common mode noise.
Disclosure of Invention
The invention aims to provide an error compensation method for active power and reactive power, which aims to solve the problems that in the current error compensation method for active power and reactive power, phase correction parameters or proportion correction parameters are difficult to accurately calculate and set in a calibration process, and offset errors caused by common-mode noise are lack of compensation.
The invention provides an error compensation method of active power and reactive power for solving the technical problems, which comprises the following steps:
1) calculating the corresponding average active power P according to the measured active power and reactive powerIAnd average reactive power QI；
2) Calculating the average active power PIAnd reactive power QISubtracting the active offset error setting B respectivelyPAnd a reactive offset error set value BQTo correspondingly obtain the active power P after bias correctionBAnd reactive power QB；
3) Bias corrected active power PBAnd reactive power QBMultiplying by a proportional error adjustment coefficient K to respectively obtain active power P after the ratio error correctionKAnd reactive power QK；
4) And respectively carrying out angle error compensation calculation on the active power and the reactive power after the ratio difference correction so as to obtain the final compensated active power P and reactive power Q.
The formula of the angle error compensation calculation in the step 4) is as follows:
wherein,the angle error adjustment coefficient.
In the step 1), the average active power and the average reactive power with the same calculation delay are obtained through calculation with the same calculation delay and averaging of a plurality of sampling points.
The active offset error setting value BPReactive offset error set value BQA proportional error adjustment coefficient K and an angular error adjustment coefficientThe calibration method is obtained through N times of calibration processing, wherein N is a positive integer, and a calculation formula of each time of calibration processing is as follows:
wherein, PR1And QR1Actual values of active power and reactive power, P, respectively, for the first input of power frequency AC active and reactive measurement systems1And Q1Respectively corresponding to the measured values of the active power and the reactive power which are input for the first time and output finally after error compensation, PR2And PR2Actual values of active power and reactive power, P, of the second input power frequency AC active and reactive measurement system, respectively2And Q2Respectively corresponding to the measured values of the active power and the reactive power which are input for the first time and output finally after error compensation, BP1、BQ1、K1Andrespectively active before calibrationInitial values of offset error setting value, reactive offset error setting value, proportional error adjustment coefficient and angle error adjustment coefficient, arg (x + j.y) is an auxiliary angle of complex number x + j.y, and output angle range is (-pi, pi)]And (4) radian.
The invention has the beneficial effects that: according to the invention, after the average calculation is carried out on the actually measured active power and reactive power, the deviation error, the proportion error and the angle error are compensated, the deviation error caused by common-mode noise is compensated, the correction parameters of each error compensation process are obtained through direct and accurate correction calculation processing, the obtained correction parameters are more accurate, and the compensation precision is improved.
Drawings
FIG. 1 is a schematic block diagram of a prior art error compensation method for active and reactive power;
fig. 2 is a schematic block diagram of the error compensation method of active power and reactive power of the present invention.
Detailed Description
The following further describes embodiments of the present invention with reference to the drawings.
The functional block diagram of the error compensation method for active power and reactive power of the present invention is shown in fig. 2, and the specific process of the present invention is described in detail by taking the active power and reactive power of a pair of pure sinusoidal voltage and current signals with a frequency of 50Hz as an example. The sampling frequency is 4kHz, and the average active power P is compensated by the error compensation method of the inventionIAnd average reactive power QIError compensation processing is carried out, and the specific steps are as follows:
1. obtaining the average active power P by the calculation with the same calculation delay and the average of 400 sampling pointsIAnd average reactive power QI，
2. Average active power P to be inputIMinus the active offset error set value BPObtaining the active power P after bias correctionBAverage reactive power Q to be inputISubtracting the reactive offset error set value BQTo obtain the offset corrected reactive power QBNamely: pB＝PI-BP，QB=QI-BQ。
3. Bias corrected active power PBMultiplying by a proportional error coefficient K to obtain active power P after the ratio error correctionKSimilarly reducing the reactive power Q after bias correctionBMultiplying by a proportional error coefficient K to obtain a reactive power Q after the ratio error correctionKNamely: pK＝K·PB QK=K·QB。
4. The active power P after the correction of the ratio differenceKAnd reactive power QKAnd carrying out angle error compensation calculation to obtain the active power P and the reactive power Q which are finally output after error compensation, wherein the calculation formula of the angle error compensation is as follows:
whereinThe angle error adjustment coefficient.
Before error calibration, the active offset error setting BPReactive offset error set value BQA proportional error adjustment coefficient K and an angular error adjustment coefficientThe initial values are respectively BP1=0.00620，BQ1=-0.00130，K1=1.00000，Active offset error setting B of current calibration processPReactive offset error set value BQA proportional error adjustment coefficient K and an angular error adjustment coefficientThe calculation formula of (a) is as follows:
wherein, PR1And QR1Actual values of active power and reactive power, P, respectively, for the first input of power frequency AC active and reactive measurement systems1And Q1Respectively corresponding to the measured values of the active power and the reactive power which are input for the first time and output finally after error compensation, PR2And PR2Actual values of active power and reactive power, P, of the second input power frequency AC active and reactive measurement system, respectively2And Q2Respectively corresponding to the measured values of the active power and the reactive power which are input for the first time and output finally after error compensation, BP1、BQ1、K1Andrespectively before the calibration processThe initial values of the power offset error setting value, the reactive offset error setting value, the proportional error adjusting coefficient and the angle error adjusting coefficient, arg (x + j.y) is an auxiliary angle of a complex number x + j.y, and the output angle range is (-pi, pi)]And (4) radian. In this embodiment, the first real values of active and reactive are PR1=1.0000W and QR1= 0.5000Var, the measured values of active power and reactive power finally output by the error compensation in the 3 steps are P1=0.9989W and Q1= -0.4988 Var; the second real values of active and reactive are PR2=2.0000W and QR2=2.0000Var, the measured values of the active power and the reactive power finally outputted by the error compensation in the 3 steps are P2=2.0031W and Q2=2.0074Var，
Active offset error set value BPReactive offset error set value BQA proportional error adjustment coefficient K and an angular error adjustment coefficientThe result after 1 calibration process is as follows according to the formula:
after the error compensation processing adopts the adjusting coefficients, if the measured actual values are respectively PR1=10000W and QR1Real and reactive power of = 0.5000Var, the measured values of real power P and reactive power Q finally output by the error compensation of the invention are 1.000005W and-0.49996 Var; if the measured actual values are respectively PR1=2.0000W and QR1Real and reactive power of =2.0000Var, the real power P and reactive power Q measurements finally output by the error compensation of the preceding 3 steps are 2.00002W and 2.00001 Var; after 1 time of calibration treatment, the relative errors of the measurement are less than 0.01 percent.
Claims (3)
1. An error compensation method for active power and reactive power is characterized in that: the compensation method comprises the following steps:
1) active power and reactive power are collected, and corresponding average active power P is calculatedIAnd average reactive power QI；
2) Calculating the average active power PIAnd average reactive power QISubtracting the active offset error setting B respectivelyPAnd a reactive offset error set value BQTo correspondingly obtain the active power P after bias correctionBAnd do not haveWork power QB；
3) Bias corrected active power PBAnd reactive power QBMultiplying by a proportional error adjustment coefficient K to respectively obtain active power P after the ratio error correctionKAnd reactive power QK；
4) Respectively carrying out angle error compensation calculation on the active power and the reactive power after the ratio difference correction to obtain final compensated active power P and reactive power Q;
the active offset error setting value BPReactive offset error set value BQA proportional error adjustment coefficient K and an angular error adjustment coefficientThe calibration method is obtained through N times of calibration processing, wherein N is a positive integer, and a calculation formula of each time of calibration processing is as follows: <math>
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wherein, PR1And QR1Actual values of active power and reactive power, P, respectively, for the first input of power frequency AC active and reactive measurement systems1And Q1Respectively corresponding to the measured values of the active power and the reactive power which are input for the first time and output finally after error compensation, PR2And PR2Actual values of active power and reactive power, P, of the second input power frequency AC active and reactive measurement system, respectively2And Q2Respectively correspond to the first input and the first channelMeasurement of the active and reactive power of the final output of the over-error compensation, BP1、BQ1、K1Andthe initial values of an active offset error set value, a reactive offset error set value, a proportional error adjustment coefficient and an angle error adjustment coefficient before calibration processing are respectively taken as the arg (x + j.y) is an auxiliary angle of a complex number x + j.y, and the output angle range is (-pi, pi)]And (4) radian.
2. Method for error compensation of active and reactive power according to claim 1, characterized in that: in the step 1), the average active power and the average reactive power with the same calculation delay are obtained through calculation with the same calculation delay and averaging of a plurality of sampling points.
3. Method for error compensation of active and reactive power according to claim 1, characterized in that: the formula of the angle error compensation calculation in the step 4) is as follows:
wherein,the angle error adjustment coefficient.
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| CN106841773B (en) * | 2016-12-26 | 2019-04-26 | 深圳市科陆电子科技股份有限公司 | Identify the method and system of bad load |
| CN107238753B (en) * | 2017-06-12 | 2019-10-29 | 威胜集团有限公司 | The frequency error compensation method of digital phase shift measurement reactive power under fixed frequency sampling |
| CN111130125B (en) * | 2020-01-15 | 2022-10-04 | 西南交通大学 | Reactive compensation method of converter and control method of converter |
| CN112886575A (en) * | 2021-01-28 | 2021-06-01 | 北京四方继保工程技术有限公司 | Method and system for effectively compensating conventional sampling power angle error |
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Effective date of registration: 20141223 Address after: No. 1298 Xuchang City, Henan province 461000 XJ Avenue Patentee after: Xuji Group Co., Ltd. Patentee after: Henan Xuji Instrument Co., Ltd. Patentee after: State Grid Corporation of China Patentee after: State Grid Tianjin Electric Power Company Address before: No. 1298 Xuchang City, Henan province 461000 XJ Avenue Patentee before: Xuji Group Co., Ltd. Patentee before: Henan Xuji Instrument Co., Ltd. Patentee before: State Grid Corporation of China |