JP2006084381A - Three-phase power measurement method and three-phase power measurement device - Google Patents
Three-phase power measurement method and three-phase power measurement device Download PDFInfo
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本発明は三相電力測定方法および三相電力測定装置に関するものであり、詳しくは、三相3線式結線の電力測定における誤差の軽減に関するものである。 The present invention relates to a three-phase power measurement method and a three-phase power measurement device, and more particularly to reduction of errors in power measurement of a three-phase three-wire connection.
特許文献1は、複数個の電力測定部を備えたデジタル電力計に関するものであり、単相電力だけではなく、三相3線式の三相電力も測定できることが開示されている。
具体的には、各電力測定部の電力レンジの設定状態がどのような組み合わせであっても正しい加算結果が得られるようにするための構成が開示されているが、本発明が目的とする三相負荷のインピーダンスが等しくない場合の測定誤差を小さくすることについての記載はない。
Specifically, there is disclosed a configuration for obtaining a correct addition result regardless of the combination of the power range setting states of each power measurement unit. There is no description about reducing the measurement error when the impedances of the phase loads are not equal.
図3は従来の三相電力測定装置の接続関係の一例を示す説明図である。図3において、3相の電力源R,S,Tは、それぞれ電圧UR,US,UTを発生して各相に対応する負荷L1〜L3に電流IR,IS,ITを供給する。これら電力源R,S,Tの一端はそれぞれ電力線を介して対応する負荷L1〜L3の一端に接続され、各他端は接続中点として共通に接続されている。各負荷L1〜L3の他端も接続中点として共通に接続されている。 FIG. 3 is an explanatory diagram showing an example of a connection relationship of a conventional three-phase power measuring apparatus. In FIG. 3, three-phase power sources R, S, and T generate voltages U R , U S , and U T , respectively, and supply currents IR, IS, and IT to loads L1 to L3 corresponding to the respective phases. One end of each of these power sources R, S, and T is connected to one end of a corresponding load L1 to L3 via a power line, and each other end is commonly connected as a connection midpoint. The other ends of the loads L1 to L3 are also commonly connected as connection midpoints.
R相の電力線には電力源Rから負荷L1に流れる相電流IRを測定する電流測定部I1が直列接続され、S相の電力線には電力源Sから負荷L2に流れる相電流IRを測定する電流測定部I2が直列接続されている。R相の電力線とT相の電力線間には線間の電圧を測定する電圧測定部U1が接続され、S相の電力線とT相の電力線間には線間の電圧を測定する電圧測定部U2が接続されている。そして、電流測定部I1と電圧測定部U1は第1の電力測定部P1を構成し、電流測定部I2と電圧測定部U2は第2の電力測定部P2を構成している。 Current measuring unit I1 to power line R-phase of measuring the phase currents I R flowing from the power source R to load L1 is connected in series, measuring the phase current I R flowing from the power source S to the load L2 in the power line of the S-phase A current measuring unit I2 is connected in series. A voltage measuring unit U1 that measures the voltage between the R-phase power line and the T-phase power line is connected, and a voltage measuring unit U2 that measures the voltage between the lines between the S-phase power line and the T-phase power line. Is connected. The current measuring unit I1 and the voltage measuring unit U1 constitute a first power measuring unit P1, and the current measuring unit I2 and the voltage measuring unit U2 constitute a second power measuring unit P2.
ここで、第1の電力測定部P1で測定する電力をP1、第2の電力測定部P2で測定する電力をP2とすると、三相3線式結線の電力P2WATTSは、ブロンデルの定理により、(1)式で求めることができる。
P2WATTS=P1+P2 (1)
Here, assuming that the power measured by the first power measurement unit P1 is P1, and the power measured by the second power measurement unit P2 is P2, the power P 2WATTS of the three-phase three-wire connection is obtained by Blondel's theorem. It can be obtained by equation (1).
P 2WATTS = P1 + P2 (1)
図4は図3の構成例を示す機能的なブロック図である。DSP(デジタルシグナルプロセッサ)1は、電圧測定部U1,U2からの電圧瞬時値u1(n),u2(n)と電流測定部I1,I2からの電流瞬時値i1(n),i2(n)に基づいて次の(2)(3)式の演算を行うことにより電力P1とP2を求め、前述の(1)式により三相3線式結線の電力P2WATTSを算出する。 FIG. 4 is a functional block diagram illustrating the configuration example of FIG. The DSP (digital signal processor) 1 includes instantaneous voltage values u 1 (n) and u 2 (n) from the voltage measuring units U1 and U2 and instantaneous current values i 1 (n) and i from the current measuring units I1 and I2. Based on 2 (n), the powers P1 and P2 are obtained by performing the calculations of the following formulas (2) and (3), and the power P2WATTS of the three-phase three-wire connection is calculated by the formula (1).
このようにして(1)式により算出された三相3線式結線の電力P2WATTSは、CPU2を介して表示器3に表示される。
The power P 2WATTS of the three-phase three-wire connection calculated by the equation (1) in this way is displayed on the
ところで、ブロンデルの定理が成り立つ条件は、(4)式である。 By the way, the condition under which Blondel's theorem holds is the equation (4).
しかし、電力源R,S,Tの接続中点と接地間には浮遊容量C1が存在し、負荷L1〜L3の接続中点と接地間には浮遊容量C2が存在することから、負荷L1〜L3のインピーダンスL1,L2,L3の間にL1=L2=L3が成り立たない場合、(4)式は成り立たなくなって測定誤差を生じる。 However, the stray capacitance C1 exists between the connection midpoint of the power sources R, S, and T and the ground, and the stray capacitance C2 exists between the connection midpoint of the loads L1 to L3 and the ground. If L1 = L2 = L3 does not hold between the impedances L1, L2, and L3 of L3, equation (4) does not hold and a measurement error occurs.
この(4)式が成り立たないことによる測定誤差をベクトルで表すと(5)式のようになる。図3の結線における電力測定値をP2WATTSとすると、
If the measurement error due to the fact that the equation (4) does not hold is expressed by a vector, the equation (5) is obtained. If the measured power value in the connection of FIG. 3 is
一方、図3の三相電力の真値をPTRUEとすると、PTRUEは(6)式により表される。 On the other hand, assuming that the true value of the three-phase power in FIG. 3 is P TRUE , P TRUE is expressed by equation (6).
よって、(4)式が成り立たない場合の測定誤差PERRORは(7)式となる。 Therefore, the measurement error P ERROR when Expression (4) does not hold becomes Expression (7).
このような測定誤差をなくす方法としては、例えば電圧測定部と電流測定部をそれぞれ3つ用い、電圧測定部の結線を三相中点と電力源S,R,Tに結線することが考えられるが、中点が機器の内部にあって取り出せない場合には使用できない。 As a method for eliminating such measurement errors, for example, three voltage measuring units and three current measuring units may be used, and the voltage measuring unit may be connected to the three-phase midpoint and the power sources S, R, and T. However, it cannot be used if the midpoint is inside the device and cannot be removed.
本発明は、これらの従来の問題点を解決するものであって、その目的は、三相3線式結線の電力を測定するのにあたり、三相負荷のインピーダンスが等しくない場合の測定誤差を小さくできて高精度の電力測定が行える三相電力測定方法および三相電力測定装置を実現することにある。 The present invention solves these conventional problems, and its purpose is to reduce the measurement error when the impedance of the three-phase load is not equal in measuring the power of the three-phase three-wire connection. An object of the present invention is to realize a three-phase power measurement method and a three-phase power measurement apparatus that can perform power measurement with high accuracy.
このような課題を達成するために、本発明のうち請求項1記載の発明は、
三相3線式結線の電力を測定する三相電力測定方法であって、
三相の相電流を測定するステップと、
第1相と第2相間の電圧および第1相と第3相間の電圧を測定するステップと、
2つの電圧測定出力と第2相と第3相の電流測定出力に基づき三相3線式結線の電力を演算するステップと、
2つの電圧測定出力と3つの電流測定出力に基づき電力誤差補正分を演算するステップを含むことを特徴とする。
In order to achieve such a problem, the invention according to
A three-phase power measurement method for measuring the power of a three-phase three-wire connection,
Measuring a three-phase phase current;
Measuring the voltage between the first phase and the second phase and the voltage between the first phase and the third phase;
Calculating the power of the three-phase three-wire connection based on the two voltage measurement outputs and the current measurement outputs of the second phase and the third phase;
The method includes a step of calculating a power error correction based on two voltage measurement outputs and three current measurement outputs.
本発明のうち請求項2記載の発明は、
三相3線式結線の電力を測定する三相電力測定装置であって、
三相の相電流をそれぞれ測定する3つの電流測定手段と、
第1相と第2相間の電圧および第1相と第3相間の電圧をそれぞれ測定する2つの電圧測定手段と、
2つの電圧測定手段の測定出力と第2相と第3相の電流測定手段の測定出力に基づき三相3線式結線の電力を演算し、2つの電圧測定手段の測定出力と3つの電流測定手段の測定出力に基づき電力誤差補正分を演算する演算手段を設けたことを特徴とする。
Of the present invention, the invention according to
A three-phase power measuring device for measuring the power of a three-phase three-wire connection,
Three current measuring means for measuring three-phase phase currents;
Two voltage measuring means for measuring the voltage between the first phase and the second phase and the voltage between the first phase and the third phase, respectively;
Based on the measurement output of the two voltage measurement means and the measurement output of the second and third phase current measurement means, the power of the three-phase three-wire connection is calculated, the measurement output of the two voltage measurement means and the three current measurements An arithmetic means for calculating an electric power error correction amount based on the measurement output of the means is provided.
請求項3記載の発明は、請求項2記載の三相電力測定装置において、
前記演算手段はデジタル演算器であることを特徴とする。
The invention according to
The computing means is a digital computing unit.
請求項4記載の発明は、請求項2記載の三相電力測定装置において、
前記演算手段はアナログ演算器であることを特徴とする。
The invention according to claim 4 is the three-phase power measuring device according to
The computing means is an analog computing unit.
本発明によれば、三相3線式結線の電力を測定するのにあたり、三相負荷のインピーダンスが等しくない場合の測定誤差を小さくできて高精度の電力測定が行える三相電力測定方法および三相電力測定装置を実現することができる。 According to the present invention, in measuring the power of a three-phase three-wire connection, a three-phase power measurement method and a three-phase power measurement method capable of reducing the measurement error when the impedances of the three-phase loads are not equal can be reduced and performing high-precision power measurement. A phase power measuring device can be realized.
以下、本発明を図面を用いて詳細に説明する。図1は本発明に基づく三相電力測定装置の接続関係の一例を示す説明図であって、図3と共通する部分には同一の符号を付けている。図1が図3と異なる点は、T相の電力線にも電力源Tから負荷L3に流れる相電流ITを測定する電流測定部I3が直列接続されていることである。すなわち、図1では、各相の電力線のそれぞれに、相電流を測定するための電流測定部が直列接続されている。
Hereinafter, the present invention will be described in detail with reference to the drawings. FIG. 1 is an explanatory diagram showing an example of a connection relationship of a three-phase power measuring apparatus according to the present invention, and the same reference numerals are given to the parts common to FIG.
図2は図1の構成例を示す機能的なブロック図である。DSP4は、電圧測定部U1,U2から入力される電圧瞬時値u1(n),u2(n)と、電流測定部I1,I2,I3から入力される電流瞬時値i1(n),i2(n),i3(n)に基づいて、図3のDSP1と同様に(1)(2)(3)式の演算を行って電力P1とP2を求め、三相3線式結線の電力P2WATTSを算出するとともに、次に示す(8)式の演算を行って誤差補正分P’を算出する。
FIG. 2 is a functional block diagram showing a configuration example of FIG. The DSP 4 includes instantaneous voltage values u 1 (n) and u 2 (n) input from the voltage measuring units U1 and U2 and instantaneous current values i 1 (n) and u2 (n) input from the current measuring units I1, I2 and I3. Based on i 2 (n) and i 3 (n), the calculation of equations (1), (2) and (3) is performed in the same manner as the
そして、(1)式で求めた電力P2WATTSと(8)式で求めた誤差補正分P’に基づき、(9)式の演算を行って三相3線式結線の電力P’2WATTSを算出する。
P’2WATTS=P2WATTS+P’ (9)
このようにして(9)式により算出された三相3線式結線の電力P’2WATTSは、CPU5を介して表示器6に表示される。
Then, based on the
P'2WATTS = P2WATTS + P '(9)
The power P ′ 2WATTS of the three-phase three-wire connection calculated by the equation (9) in this way is displayed on the display 6 via the CPU 5.
(8)式をベクトルで表すと(10)式のようになる。 When equation (8) is expressed as a vector, equation (10) is obtained.
これら(5)式と(11)式から、本発明による測定誤差P'ERRORは(12)式となる。 From these equations (5) and (11), the measurement error P ′ ERROR according to the present invention becomes equation (12).
これらから、(7)式の測定誤差PERRORと(12)式の測定誤差P'ERRORを比較すると
P'ERROR<PERRORとなる。すなわち、本発明のような構成にすることにより測定誤差が小さくなり、高精度での電力測定が行える。
From these, the measurement error P ERROR in equation (7) is compared with the measurement error P ' ERROR in equation (12).
P ' ERROR <P ERROR . That is, with the configuration of the present invention, the measurement error is reduced, and power measurement can be performed with high accuracy.
なお、実施例ではDSP4を用いて電力の演算を行っているが、DSP4の代わりにアナログ演算器を用いてもよい。 In the embodiment, the power is calculated using the DSP 4, but an analog calculator may be used instead of the DSP 4.
また、実施例では、R,T間の電圧とS,T間の電圧を測定しているが、R,S間の電圧とT,S間の電圧を測定してもよいし、S,R間の電圧とT,R間の電圧を測定してもよい。これの場合、電力の演算を測定箇所に合わせて変更すればよい。 In the embodiment, the voltage between R and T and the voltage between S and T are measured. However, the voltage between R and S and the voltage between T and S may be measured. The voltage between and the voltage between T and R may be measured. In this case, the power calculation may be changed according to the measurement location.
4 演算手段(DSP)
5 CPU
6 表示器
4 Calculation means (DSP)
5 CPU
6 Display
Claims (4)
三相の相電流を測定するステップと、
第1相と第2相間の電圧および第1相と第3相間の電圧を測定するステップと、
2つの電圧測定出力と第2相と第3相の電流測定出力に基づき三相3線式結線の電力を演算するステップと、
2つの電圧測定出力と3つの電流測定出力に基づき電力誤差補正分を演算するステップを含むことを特徴とする三相電力測定方法。 A three-phase power measurement method for measuring the power of a three-phase three-wire connection,
Measuring a three-phase phase current;
Measuring the voltage between the first phase and the second phase and the voltage between the first phase and the third phase;
Calculating the power of the three-phase three-wire connection based on the two voltage measurement outputs and the current measurement outputs of the second phase and the third phase;
A three-phase power measurement method comprising a step of calculating a power error correction based on two voltage measurement outputs and three current measurement outputs.
三相の相電流をそれぞれ測定する3つの電流測定手段と、
第1相と第2相間の電圧および第1相と第3相間の電圧をそれぞれ測定する2つの電圧測定手段と、
2つの電圧測定手段の測定出力と第2相と第3相の電流測定手段の測定出力に基づき三相3線式結線の電力を演算し、2つの電圧測定手段の測定出力と3つの電流測定手段の測定出力に基づき電力誤差補正分を演算する演算手段を設けたことを特徴とする三相電力測定装置。 A three-phase power measuring device for measuring the power of a three-phase three-wire connection,
Three current measuring means for measuring three-phase phase currents;
Two voltage measuring means for measuring the voltage between the first phase and the second phase and the voltage between the first phase and the third phase, respectively;
Based on the measurement output of the two voltage measurement means and the measurement output of the second and third phase current measurement means, the power of the three-phase three-wire connection is calculated, the measurement output of the two voltage measurement means and the three current measurements A three-phase power measuring apparatus, comprising a calculating means for calculating a power error correction based on a measurement output of the means.
3. The three-phase power measuring apparatus according to claim 2, wherein the computing means is an analog computing unit.
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Citations (4)
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JPS57182658A (en) * | 1981-05-08 | 1982-11-10 | Toshiba Corp | Three-phase power measuring device |
JPH04220573A (en) * | 1990-12-20 | 1992-08-11 | Mitsubishi Kasei Corp | Low-voltage system live wire insulation deterioration monitoring method |
JP2001218359A (en) * | 2000-02-02 | 2001-08-10 | Mitsubishi Electric Corp | Circuit breaker with current application information measuring instrument and its correction method |
JP2004286687A (en) * | 2003-03-25 | 2004-10-14 | Tokyo Keiki Kogyo Kk | Watthour meter |
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Publication number | Priority date | Publication date | Assignee | Title |
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JPS57182658A (en) * | 1981-05-08 | 1982-11-10 | Toshiba Corp | Three-phase power measuring device |
JPH04220573A (en) * | 1990-12-20 | 1992-08-11 | Mitsubishi Kasei Corp | Low-voltage system live wire insulation deterioration monitoring method |
JP2001218359A (en) * | 2000-02-02 | 2001-08-10 | Mitsubishi Electric Corp | Circuit breaker with current application information measuring instrument and its correction method |
JP2004286687A (en) * | 2003-03-25 | 2004-10-14 | Tokyo Keiki Kogyo Kk | Watthour meter |
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