CN110531299B - Compressed sensing indirect measurement method for electric energy value of electric energy meter dynamic test signal - Google Patents
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Abstract
The invention discloses a compressed sensing indirect measurement method for an electric energy value of a dynamic test signal of an electric energy meter, which comprises a modal decomposition unit of the dynamic test signal, a steady-state and dynamic signal measurement unit and a dynamic electric energy value calculation unit; the dynamic electric energy value calculation unit comprises an indirect measurement model of the dynamic electric energy value and reading or accumulating of the electric energy value of the standard meter, the indirect measurement model is provided with three input auxiliary measurement parameters, and tracing from the dynamic test signal electric energy value to the steady-state test signal electric energy value is realized according to the indirect measurement model; the compressed sensing indirect measurement method for the electric energy value of the dynamic test signal solves the problem of accurate measurement theory of the electric energy value of the current dynamic test signal and the problem of testing the dynamic error of the electric energy meter under the condition of a pseudo-random dynamic test signal, is simple and convenient to realize, and can be used for comprehensively testing the dynamic error characteristic of the electric energy meter.
Description
1. Field of the invention
The invention relates to a compressed sensing indirect measurement method for a dynamic test signal reference electric energy value, in particular to an indirect method for measuring a standard reference electric energy value of an electric energy meter dynamic error test signal, which can be used for testing the dynamic error characteristic of an intelligent electric energy meter.
2. Background of the invention
With the continuous development of smart grid construction, from the perspective of power supply and load, the smart grid presents two new characteristics: firstly, due to popularization and use of new power sources such as wind energy, solar energy, tidal energy and the like, the output power of the novel power source of the power grid presents unsteady state characteristics; secondly, heavy industrial users are increasingly loaded with high-power dynamics, such as: electric load power of steel-making electric arc furnace, electrolytic aluminum, high-speed rail electric locomotive, etc. shows frequent random dynamic change characteristics. The new characteristics of the smart grid make the metering of the electric energy generated and consumed and the dynamic error testing of the smart electric energy meter face new challenges. At present, the production, test and detection of intelligent electric energy meters, electronic electric energy meters and induction electric energy meters are all carried out under a steady-state condition, which leads to the fact that the dynamic error characteristics of the electric energy meters cannot be tested and evaluated. The method for accurately measuring and tracing the reference electric energy value of the dynamic test signal of the electric energy meter is complex, and a perfect reference electric energy value measurement model and an accurate measurement and tracing method of the dynamic test signal are not formed at present, so that the progress of the dynamic error characteristic test technology of the electric energy meter is indirectly influenced.
3. Summary of the invention
In order to avoid the defects of the existing method, the invention can simply and conveniently realize the tracing of the dynamic test signal reference electric energy value, measure and determine the dynamic electric energy value of the intelligent electric energy meter, and play an important role in solving the problem of testing the dynamic error characteristic of the electric energy meter under the high-power dynamic load.
The invention aims to solve the problems of measuring the reference electric energy value of a dynamic test signal of an intelligent electric energy meter and tracing the standard reference electric energy value, and provides a compressed sensing indirect measurement model and method of the standard reference electric energy value of the dynamic test signal, so that the accuracy of a dynamic error test method of the electric energy meter is improved. The indirect measurement model is a steady-state electric energy which is easy to measure and a positive characteristic value cumulant M+And negative eigenvalue cumulant M-And as an input auxiliary measurement parameter, determining an indirect measurement model of the measured dynamic reference electric energy value, thereby providing a tracing method of the auxiliary steady-state test signal electric energy value from the dynamic reference electric energy value to the indirect measurement model.
The invention relates to a compressed sensing indirect measurement method for an electric energy value of a dynamic test signal of an electric energy meter, which adopts a dynamic test voltage and current signal (1), a dynamic test signal modal decomposition preprocessing unit (2), a steady and dynamic signal measurement unit (3) and a dynamic electric energy value calculation unit (4) to complete the measurement and tracing of the reference electric energy value of the dynamic test signal. The dynamic test voltage and current signal (1) is a three-phase/single-phase steady-state test voltage signal uk(t) and the steady-state current signal ik(t) three-phase/single-phase dynamic test voltage signalDynamic test current signal modulated with two/three amplitudesDynamic test voltage and current signal (1) inputThe dynamic test signal modal decomposition and processing unit (2) obtains two intrinsic modal signals of a steady-state power signal and a dynamic current; the two intrinsic mode signals are respectively measured by a steady-state and dynamic signal measuring unit (3), and the steady-state power signal is measured by a standard electric energy meter to obtain the electric energy value ES0For a dynamic current eigenmode signal, a positive eigenvalue cumulant M of the signal is obtained by adopting a compressed sensing measurement matrix to measure+And negative eigenvalue cumulative quantity M-(ii) a Steady state electric energy value ES0Positive eigenvalue cumulant M+And negative eigenvalue cumulant M-As three auxiliary measurement parameters, the three parameters are input into a dynamic electric energy value indirect measurement model in a dynamic electric energy value calculation unit (4), and a reference electric energy value E of a dynamic test signal is calculated by adopting a dynamic measurement algorithmX0The indirect measurement model realizes the reference electric energy value E of the dynamic test signalX0To steady state test signal electric energy value ES0Tracing to the source by using a reference electric energy value EX0And the electric energy value E output by the electric energy meter to be testedZAnd calculating the dynamic error of the electric energy meter.
The steady state test voltage signal uk(t) and a steady-state test current signal ik(t) which are respectively expressed as:
uk(t)=Usin(Ω1t+φk)
in the formula, omega1=2πf1Is the angular frequency, f1At power frequency, T1=1/f1Power frequency period of steady state signal, phikFor the three-phase steady-state voltage signal phase,for three-phase steady-state current signal phases, k ═ a, b, c represent phase a, phase b, and phase c signals, respectively; from signal uk(t) and signal ik(t) multiplying to obtain a steady state power signal
The dynamic test voltage signalAnd two-amplitude/three-amplitude dynamic test current signalThe expressions are respectively:
In the formula, AkL=[αk0,αk1,…,αk(L-1)],αk(L+n)=αknFor dynamically testing the currentCharacteristic vector of (B)L=[β0,β1,…,βL-1]1×L,βk(L+n)=βknFor dynamically testing voltageL ∈ [2, ∞) is a bounded positive integer, T ═ LT1For dynamic test signal periods, G (t-nT) is a window function, Gn(t)=[g(t-T),g(t-2T),…g(t-nT)]Is a window function vector.
The modal decomposition and processing unit of the dynamic test signal is used for decomposing and processing the dynamic test voltageAnd dynamic test currentMultiplying to obtain dynamic test power signalSimultaneously dynamically testing current signalsAnddecomposing to obtain dynamic current characteristic signalAnd steady stateUsing steady-state test voltage uk(t) and the steady-state test current ik(t) multiplying to obtain steady state powerBy usingInstead of the formerSending into a steady-state and dynamic signal measuring unit, namely, keeping steady-state powerThe stability of the dynamic test signal is convenient for realizing the tracing of the electric energy value of the dynamic test signal.
The steady-state and dynamic signal measuring unit is composed of a standard electric energy meter and a compressed sensing measuring matrix: at a measurement time L' T1Measuring steady-state power by internally adopting standard electric energy meterAccumulated steady state test signal electric energy value ES0(ii) a At the same measuring time L' T1Internal, to dynamic current signalOr dynamic current characteristic signalMeasuring matrix phi using compressed sensing matched filterBMeasurement calculationPositive eigenvalue cumulative quantity M of+And negative eigenvalue cumulative quantity M-(ii) a Compressed sensing matched filter measurement matrix phiBComprises the following steps:
in the formula (I), the compound is shown in the specification,positive eigenvalue cumulative quantity M+And negative eigenvalue cumulative quantity M-The calculation algorithm is as follows:
in the formula (I), the compound is shown in the specification,respectively taking a binary sequence or a ternary sequence.
In the dynamic electric energy value calculation unit, the input auxiliary measurement parameter of the dynamic electric energy value indirect measurement model is a steady-state test signal electric energy value ES0Positive eigenvalue cumulant M+And negative eigenvalue cumulative quantity M-The output is a reference electric energy value E of the measured dynamic test signalX0(ii) a By reading the electric energy value of the standard electric energy meter or accumulating the standard electric energy meter at the measuring time L' T1The number of the internally output electric energy pulses is calculated to obtain a steady-state electric energy value ES0(ii) a Wherein, the indirect measurement model of the dynamic electric energy value is as follows:
in the formula, EX0For dynamic test signalsL (|) is a likelihood function,ES0the steady state test signal electric energy value;
the reference electric energy value E of the dynamic test signal is calculatedX0The dynamic measurement algorithm is as follows:
this equation gives the reference electrical energy value E from the dynamic test signalX0To steady state test signal electric energy value ES0The source tracing relationship.
The dynamic load current signal characteristic vector AkL′=[αk0,αk1,…,αk(L′-1)],αkn=αk(L+n)Can be a binary sequence of "0" and "+ 1", or a ternary sequence of "+ 1", "0" and "-1", and can be a deterministic sequence or a pseudo-random sequence.
The invention has the beneficial effects that:
the method can accurately measure and obtain the reference electric energy value of the dynamic test signal by utilizing the indirect measurement model of the dynamic electric energy value under the condition of the dynamic test signal of the electric energy meter according to the test application requirement of the dynamic error characteristic of the electric energy meter, effectively solves the measurement and source tracing problems of the electric energy value of the determined and pseudo-random dynamic test signal, and obviously improves the accuracy of the electric energy meter dynamic error test method.
4. Drawings and description of the drawings
FIG. 1 is a compressed sensing indirect measurement method for the electric energy value of the dynamic test signal of the electric energy meter according to the invention.
5. Detailed description of the preferred embodiments
The first embodiment is as follows: the present embodiment will be described with reference to fig. 1. The compressed sensing indirect measurement method for the electric energy value of the dynamic test signal of the electric energy meter in the embodiment comprises the following steps: the dynamic test signal modal decomposition unit (2), the steady-state and dynamic signal measurement unit (3) and the dynamic electric energy value calculation unit (4). Wherein the input signals are: three-phase/single-phase steady-state voltage and current signals (1) generated using a steady-state power source, and two-amplitude/three-amplitude dynamic test current signals (1) generated using a signal generation unit or device to modulate the steady-state voltage and current signals (1).
According to the compressed sensing indirect measurement method for the electric energy value of the dynamic test signal of the electric energy meter, according to the measurement requirement of the dynamic error characteristic of the electric energy meter; aiming at three-phase/single-phase dynamic test current signals and three-phase/single-phase steady-state test voltage and current signals, a standard electric energy meter is adopted to measure steady-state powerCumulative steady state test signal power magnitude ES0While measuring matrix phi by using compressed sensing matched filterBMeasurement calculationPositive eigenvalue cumulative quantity M of+And negative eigenvalue cumulative quantity M-And measuring to obtain the reference electric energy value of the measured dynamic test signal by adopting an indirect measurement model of the dynamic electric energy value and a dynamic measurement algorithm of the electric energy value of the dynamic test signal.
The second embodiment is as follows: in this embodiment, the first embodiment will be described further, and the three-phase dynamic test voltage signal in this embodiment will be describedThree-phase dynamic test current signalRespectively as follows:
wherein the content of the first and second substances,dynamic test power signalIs composed of signalsSum signalMultiplication results in:
in the formula uk(t)=Usin(Ω1t+φk),Ω1=2πf1Is the angular frequency, f1At power frequency, T1=1/f1Power frequency period of steady state signal, phikFor the three-phase steady-state voltage signal phase,the three-phase steady-state current signal phase is defined as k, a, b and c respectively represent a phase, a phase and a phase; a. thekL=[αk0,αk1,…,αk(L-1)],αk(L+n)=αknFor dynamically testing the currentCharacteristic vector of (B)L=[β0,β1,…,βL-1]1×L,βk(L+n)=βknFor dynamically testing voltageL ∈ [2, ∞) is a bounded positive integer, T ═ LT1For dynamic test signal periods, G (t-nT) is a window function, Gn(t)=[g(t-T),g(t-2T),g(t-nT)]Is a window function vector;for steady state power signals:
the third concrete implementation mode: the present embodiment is further described with respect to the first and second embodiments, and the dynamic test signal modal decomposition and processing unit of the present embodiment is configured to perform a dynamic test on a dynamic test power signalAnd dynamic test current signalProcessing and decomposing to obtain dynamic current characteristic signalAnd steady stateDynamic current signatureComprises the following steps:
Using steady-state test voltage uk(t) and the steady-state test current ik(t) multiplying to obtain steady state powerInstead of the formerEnsuring dynamic test power signalsTo steady state power signalThe source tracing is carried out on the original data,andsending into a steady state and dynamic signal measuring unit for measurementCumulative steady state test signal power magnitude ES0Andpositive eigenvalue cumulative quantity M of+And negative eigenvalue cumulant M-。
The fourth concrete implementation mode: the present embodiment is further described with respect to the first, second and third embodiments, and the steady-state and dynamic signal measuring unit of the present embodiment measures the time L' T1Measuring steady-state power by using standard electric energy meter in internal (L' > L)Cumulative steady state test signal power magnitude ES0(ii) a At the same measuring time L' T1Internal, using a compressed sensing matched filter to measure the matrix phiBMeasurement calculationOrPositive eigenvalue cumulative quantity M of+And negative eigenvalue cumulative quantity M-;
The compressed sensing matched filter measurement matrix phiBComprises the following steps:
in the formula (I), the compound is shown in the specification,positive eigenvalue cumulative quantity M+And negative eigenvalue cumulative quantity M-The measurement calculation algorithm is as follows:
in the formula (I), the compound is shown in the specification,respectively taking a binary sequence or a ternary sequence.
The fifth concrete implementation mode: the present embodiment is further described with respect to the first, second, third, or fourth embodiment, and the dynamic electric energy value calculation unit according to the present embodiment includes two parts, namely, a dynamic electric energy value indirect measurement model and a read/accumulated electric energy value. The dynamic electric energy value indirect measurement model adopts a steady-state test signal electric energy value ES0Positive eigenvalue cumulant M+And negative eigenvalue cumulative quantity M-Reference electric energy value E as input auxiliary measuring parameter through dynamic testing signalX0The reference electric energy value E of the measured dynamic test signal is obtained by calculationX0(ii) a By reading the electric energy value of the standard electric energy meter or accumulating the standard electric energy meter at the measuring time L' T1The number of the internally output electric energy pulses is calculated to obtain the electric energy value E of the steady-state test signalS0;
Wherein, the indirect measurement model of the dynamic electric energy value is as follows:
in the formula, EX0For the reference power value of the dynamic test signal, L (-) is a likelihood function,ES0the steady state test signal electric energy value;
reference electric energy value E of the dynamic test signalX0The dynamic measurement algorithm is as follows:
in the formula, EX0To ES0The calculation relationship gives the principle of tracing from the electric energy value of the dynamic test signal to the electric energy value of the steady test signal。
It will be evident to those skilled in the art that the invention is not limited to the details of the foregoing illustrative embodiments, and that the present invention may be embodied in other specific forms without departing from the spirit or essential attributes thereof. The present embodiments are therefore to be considered in all respects as illustrative and not restrictive, the scope of the invention being indicated by the appended claims rather than by the foregoing description, and all changes which come within the meaning and range of equivalency of the claims are therefore intended to be embraced therein. Any reference sign in a claim should not be construed as limiting the claim concerned.
Furthermore, it should be understood that although the present description refers to embodiments, not every embodiment may contain only a single embodiment, and such description is for clarity only, and those skilled in the art should integrate the description, and the embodiments may be combined as appropriate to form other embodiments understood by those skilled in the art.
Claims (4)
1. A compressed sensing indirect measurement method for an electric energy value of an electric energy meter dynamic test signal is characterized in that an input dynamic voltage and current test signal (1) is a three-phase/single-phase steady-state test voltage signal uk(t) and the steady-state current signal ik(t), three-phase/single-phase dynamic test voltage signalDynamic test current signal modulated with two/three amplitudesRespectively called as a steady-state periodic eigenmode signal and a dynamic eigenmode signal modulated by two amplitudes/three amplitudes; the input dynamic test signal obtains two modes of a steady-state power signal and a dynamic current intrinsic mode signal in the dynamic test signal mode decomposition and processing unit (2); the two modal signals are measured by the steady state and dynamic signals respectivelyThe unit (3) measures the steady-state power signal by adopting a standard electric energy meter to obtain the electric energy value ES0For a dynamic current eigenmode signal, a positive eigenvalue cumulant M of the signal is obtained by adopting a compressed sensing measurement matrix to measure+And negative eigenvalue cumulative quantity M-(ii) a Steady state test signal electric energy value ES0Positive eigenvalue cumulant M+And negative eigenvalue cumulant M-As three auxiliary measurement parameters, the three parameters are input into a dynamic electric energy value indirect measurement model in a dynamic electric energy value calculation unit (4), and a reference electric energy value E of a dynamic test signal is calculated by adopting a dynamic measurement algorithmX0The indirect measurement model realizes the reference electric energy value E of the dynamic test signalX0To steady state test signal electric energy value ES0Tracing to the source, using reference electric energy value E of the dynamic test signalX0And the electric energy value E output by the electric energy meter to be testedZCalculating the dynamic error of the electric energy meter;
wherein the steady-state periodic eigenmode signal is a steady-state test voltage signal uk(t) and a steady-state test current signal ik(t) which are respectively expressed as:
uk(t)=Usin(Ω1t+φk)
in the formula, omega1=2πf1Is the angular frequency, f1At power frequency, T1=1/f1Power frequency period of steady state signal, phikFor the three-phase steady-state voltage signal phase,the three-phase steady-state current signal phase is defined as k, a, b and c respectively represent a phase, a phase and a phase; from signal uk(t) and signal ik(t) multiplying to obtain a steady state power signal
The dynamic eigenmode signal input with the two-amplitude/three-amplitude modulation is dynamic test voltageAnd dynamic test current signalThe expressions are respectively:
In the formula, AkL=[αk0,αk1,…,αk(L-1)],αk(L+n)=αknFor dynamically testing the currentCharacteristic vector of (B)L=[β0,β1,…,βL-1]1×L,βk(L+n)=βknFor dynamically testing voltageL ∈ [2, ∞) is a bounded positive integer, T ═ LT1For dynamic test signal periods, G (t-nT) is a window function, Gn(t)=[g(t-T),g(t-2T),…g(t-nT)]Is a window function vector;
the input auxiliary measurement parameter of the dynamic electric energy value indirect measurement model in the dynamic electric energy value calculation unit (4) is a steady-state test signal electric energy value ES0Positive eigenvalue cumulant M+And negative eigenvalue cumulative quantity M-The output is a reference electric energy value E of the measured dynamic test signalX0(ii) a By reading the electric energy value of the standard electric energy meter or accumulating the standard electric energy meter at the measuring time L' T1The number of the internally output electric energy pulses is calculated to obtain the electric energy value E of the steady-state test signalS0(ii) a Calculating reference electric energy value E of dynamic test signal by adopting dynamic measurement algorithmX0;
Wherein, the indirect measurement model of the dynamic electric energy value is as follows:
in the formula, EX0Reference electric energy value for dynamic test signal, ES0For steady state test signal power magnitude, L (-) is a likelihood function,
the reference electric energy value E of the dynamic test signal is calculatedX0The dynamic measurement algorithm is as follows:
this formula gives EX0To ES0The source tracing relationship.
2. The method of claim 1, wherein the modal decomposition and processing unit of the dynamic test signal transforms the dynamic test voltage into a dynamic test voltageAnd dynamic test currentMultiplying to obtain dynamic test power signalSimultaneously dynamically testing current signalsAnddecomposing to obtain dynamic current characteristic signalAnd steady stateUsing steady-state test voltage uk(t) and the steady-state test current ik(t) multiplying to obtain steady state powerBy usingInstead of the formerSending into a steady state and dynamic signal measurement unit to reserve steady state powerThe stability and the characteristic of being convenient for tracing the electric energy value are realized; dynamic current signatureComprises the following steps:
3. the method of claim 1, wherein the steady-state and dynamic signal measurements are performed by a compressed sensing indirect measurement method of the magnitude of the dynamic test signal power of the electric energy meterThe unit cell is a unit cell, which is composed of a plurality of unit cells,andsending into a steady state and dynamic signal measuring unit for measuring time L' T1Measuring steady-state power by standard electric energy meterCumulative steady state test signal power magnitude ES0(ii) a At the same measuring time L' T1Internal, to dynamic current signalMeasuring matrix phi using compressed sensing matched filterBMeasurement calculationOrPositive eigenvalue cumulative quantity M of+And negative eigenvalue cumulative quantity M-;
Wherein the compressed sensing matched filter measures the matrix phiBComprises the following steps:
positive eigenvalue cumulative quantity M+And negative eigenvalue cumulative quantity M-The calculation is as follows:
4. The method according to any one of claims 1 to 3, wherein the method is applied to the dynamic load current signal characteristic vector AkL′=[αk0,αk1,…,αk(L′-1)],αkn=αk(L+n)Can be a binary sequence of "0" and "+ 1", or a ternary sequence of "+ 1", "0" and "-1", and can be a deterministic sequence or a pseudo-random sequence.
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