JP2000329803A - Instrument and method for measuring three-phase alternating current - Google Patents

Instrument and method for measuring three-phase alternating current

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Publication number
JP2000329803A
JP2000329803A JP11141246A JP14124699A JP2000329803A JP 2000329803 A JP2000329803 A JP 2000329803A JP 11141246 A JP11141246 A JP 11141246A JP 14124699 A JP14124699 A JP 14124699A JP 2000329803 A JP2000329803 A JP 2000329803A
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JP
Japan
Prior art keywords
phase
value
measuring
neutral point
voltage
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
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Application number
JP11141246A
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Japanese (ja)
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JP3491676B2 (en
Inventor
Yoshinobu Sugihara
吉信 杉原
Katsuya Tachibana
勝也 橘
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Yokogawa Electric Corp
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Yokogawa Electric Corp
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Priority to JP14124699A priority Critical patent/JP3491676B2/en
Publication of JP2000329803A publication Critical patent/JP2000329803A/en
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Publication of JP3491676B2 publication Critical patent/JP3491676B2/en
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Abstract

PROBLEM TO BE SOLVED: To provide a measuring instrument for a three-phase alternating current having a function for estimating a pseudo neutral potential therein, capable of computing a central value of a three-phase alternating current by use of instantaneous values of a measured voltage and a measured current, etc. SOLUTION: This measuring instrument 5 for a three-phase alternating current includes a current measuring circuit for measuring currents of each phase by measuring power and frequency of a three-phase alternating current with the use of a digital value by A-D conversion of a sampled instantaneous value of an input signal, a voltage measuring circuit for measuring a voltage between the phases, A-D converters 32, 35, 45, 52, 55 for outputting instantaneous digital values by A-D conversion of the instantaneous measured values outputted from the current-and voltage-measuring circuits, a neutral potential estimation portion 6 for estimating a neutral potential by computation from the instantaneous digital values, and a secondary computation processing portion 60 for determining instantaneous power and frequency, etc., from the instantaneous digital values and the neutral potential.

Description

【発明の詳細な説明】DETAILED DESCRIPTION OF THE INVENTION

【0001】[0001]

【発明の属する技術分野】本発明は、三相交流の測定を
行う三相交流用測定器及び三相交流測定方法に関するも
のであり、特に三相三線式交流の測定において中性点電
位値を演算手段によって推定する機能を備えた三相交流
用測定器に関するものである。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a three-phase alternating current measuring device and a three-phase alternating current measuring method for measuring three-phase alternating current. The present invention relates to a three-phase AC measuring instrument having a function of estimating by a calculating means.

【0002】[0002]

【従来の技術】従来の三相交流用測定器では、三相三線
式で配線された測定対象の場合、中性点電位が得られな
いため、測定器1の外部で、例えば3個の抵抗を用いて
Y接続を行い、擬似的に三相四線の回路を構成して測定
を行っていた。図2は、このような目的のために接続さ
れた抵抗と従来の三相交流用測定器の接続図である。
2. Description of the Related Art In a conventional measuring device for three-phase alternating current, a neutral point potential cannot be obtained for a measuring object wired in a three-phase three-wire system. Is used to make a Y connection, and a pseudo three-phase four-wire circuit is configured to perform measurement. FIG. 2 is a connection diagram of a resistor connected for such a purpose and a conventional three-phase AC measuring instrument.

【0003】図2において、抵抗21、22,23は三
相交流用測定器の外部でY結線された同じ大きさの抵抗
値をもつ抵抗である。このように3個の抵抗を接続する
ことによってその共通接続点aは、三相交流の中性点と
して扱うことができる。
In FIG. 2, resistors 21, 22, and 23 are resistors having the same magnitude and connected in a Y-connection outside the three-phase AC measuring instrument. By connecting the three resistors in this way, the common connection point a can be treated as a neutral point of three-phase alternating current.

【0004】測定器1に内臓された電圧入力部31は、
三相交流の第1相の電源線11と前記中性点aとの間に
接続され第1相の電圧値を測定し、電流入力部34は第
1相の電源線11に直列に接続され第1相の電流値を測
定する。ここで得られた第1相の電圧値と第1相の電流
値はAD変換器32及び35によってデジタル値に変換
され電圧実効値算出部36と電力算出部37に入力され
る。尚、ここで求められた電圧値及び電力値は各入力に
対する瞬時値である。
[0004] The voltage input unit 31 incorporated in the measuring instrument 1
The voltage input of the first phase is connected between the first-phase power supply line 11 of the three-phase alternating current and the neutral point a, and the current input unit 34 is connected in series to the first-phase power supply line 11. The current value of the first phase is measured. The obtained first-phase voltage value and first-phase current value are converted into digital values by AD converters 32 and 35 and input to the effective voltage value calculation unit 36 and the power calculation unit 37. The voltage value and the power value obtained here are instantaneous values for each input.

【0005】電圧実効値算出部36と電力算出部37
は、AD変換器32及び35から入力された瞬時電圧値
と瞬時電流値によって第1相の電圧実効値と電力値をそ
れぞれ算出する。
A voltage effective value calculating section 36 and a power calculating section 37
Calculates the first phase voltage effective value and power value based on the instantaneous voltage value and instantaneous current value input from the AD converters 32 and 35, respectively.

【0006】同様に、第2相及び第3相の電圧値と電力
値についても、電圧入力部41から電力算出部57まで
の回路によって求めることが可能である。
Similarly, voltage values and power values of the second and third phases can be obtained by circuits from the voltage input unit 41 to the power calculation unit 57.

【0007】2次演算処理部60は、各相毎の電圧実効
値と電力値から三相電源の各相の電圧値、電流値及び総
電力値等の利用者が必要とする値(以下、三相交流の代
表値という。)を算出する。例えば、2次演算処理部6
0は、上記に説明した方法によって各相毎に測定された
電圧実効値を用いて、これを時間的に平均化した実効値
電圧を求め、これらを平均して三相交流の代表電圧値を
算出する。また、2次演算処理部60は、上記に説明し
た方法によって各相毎に測定された電圧実効値から、例
えば第1相の電圧実効値のn周期分の時間Tを測定し、
その周波数fを、 f=n/T (Hz) として算出していた。
[0007] The secondary arithmetic processing unit 60 calculates a voltage value, a current value, a total power value, and the like of each phase of the three-phase power supply from the voltage effective value and the power value for each phase (hereinafter, referred to as a value required by the user). Calculate the representative value of three-phase alternating current.) For example, the secondary operation processing unit 6
0 uses the voltage effective value measured for each phase by the method described above to obtain a time-averaged effective value voltage, and averages these values to obtain a representative voltage value of three-phase AC. calculate. Further, the secondary arithmetic processing unit 60 measures, for example, a time T for n cycles of the effective voltage value of the first phase from the effective voltage value measured for each phase by the method described above,
The frequency f was calculated as f = n / T (Hz).

【0008】2次演算処理部60は、このようにして得
られた三相交流の代表値を表示部70に表示する。
[0008] The secondary arithmetic processing unit 60 displays the representative value of the three-phase alternating current obtained on the display unit 70.

【0009】このようにして、従来の三相交流用測定器
は、三相交流の代表値を表示部70に選択表示すること
が可能である。
In this way, the conventional three-phase AC measuring instrument can selectively display the representative value of the three-phase AC on the display unit 70.

【0010】[0010]

【発明が解決しようとする課題】従来の三相交流用測定
器では、図2に示した従来例のように三相三線式の交流
電源を、測定値の解釈を容易にするため三相四線式の交
流電源として測定を行いたい場合がある。この場合、測
定器の外部に擬似的な中性点をつくるため抵抗等の付加
的な部品を必要とするという問題点があった。また、従
来の三相交流用測定器では、時間的に平均化された電圧
実効値や電力値を各相毎に求め、その値を用いて二次的
な演算処理として三相交流の代表値を求めていたため、
負荷及び電源の変動に対する追従性が悪いといった問題
点があった。
In a conventional three-phase AC measuring instrument, a three-phase three-wire AC power supply as in the conventional example shown in FIG. There are times when you want to perform measurement as a wire type AC power supply. In this case, there is a problem that an additional component such as a resistor is required to create a pseudo neutral point outside the measuring instrument. In addition, a conventional three-phase AC measuring instrument obtains a time-averaged voltage effective value or power value for each phase, and uses that value as a secondary calculation process to represent the representative value of the three-phase AC. Was seeking
There is a problem that the ability to follow changes in load and power supply is poor.

【0011】本発明は、上記問題を解決するもので、三
相交流用測定器において測定器内部に擬似的な中性点電
位を推定する機能を備えると共に、測定電圧や測定電流
等の瞬時値を用いて三相交流の代表値を求めることが可
能な三相交流用測定器を提供することを目的とする。
SUMMARY OF THE INVENTION The present invention solves the above-mentioned problem. A three-phase AC measuring instrument has a function of estimating a pseudo neutral point potential inside the measuring instrument, and has a function of measuring instantaneous values of a measuring voltage, a measuring current, and the like. It is an object of the present invention to provide a three-phase alternating current measuring device capable of obtaining a representative value of three-phase alternating current using the same.

【0012】[0012]

【課題を解決するための手段】このような目的を達成す
るために請求項1に記載の発明では、三相交流の少なく
とも総電力値、周波数値、各相の電圧値を測定する三相
交流用測定器において、各相の相電流値をそれぞれ測定
する電流測定回路と、各相間の相間電圧値をそれぞれ測
定する電圧測定回路と、前記各相の相電流値及び各相間
の相間電圧値から演算手段を用いて中性点電位値を推定
する中性点電位推定部と、前記各相の相電流値及び各相
の相間電圧値と前記中性点電位値から、三相交流の少な
くとも総電力値、周波数値、各相の電圧値を求める2次
演算処理部を備えたことを特徴とするものである。
In order to achieve the above object, according to the first aspect of the present invention, a three-phase AC for measuring at least a total power value, a frequency value, and a voltage value of each phase of the three-phase AC is measured. In the measuring instrument, a current measuring circuit for measuring the phase current value of each phase, a voltage measuring circuit for measuring the inter-phase voltage value between each phase, and the phase current value of each phase and the inter-phase voltage value of each phase. A neutral point potential estimating unit for estimating a neutral point potential value by using arithmetic means; and a phase current value of each phase, an inter-phase voltage value of each phase, and the neutral point potential value, and at least a total of three-phase alternating current. It is characterized by including a secondary arithmetic processing unit for obtaining a power value, a frequency value, and a voltage value of each phase.

【0013】このことにより、三相三線式交流の中性点
電位値を各相の相電流値と各相間の相間電圧値を用いて
求め、三相交流の代表値を測定することが可能となる。
This makes it possible to determine the neutral point potential value of the three-phase three-wire AC using the phase current value of each phase and the inter-phase voltage value between each phase, and measure the representative value of the three-phase AC. Become.

【0014】これは、請求項2のように、三相交流の第
2相を基準とした第1相と第2相の相間電圧値V12
と、第2相を基準とした第2相と第3相の相間電圧値V
32によって、第2相からみた中性点電位値V02を、 V02=1/3×(V12+V32) の式を用いて推定することによって実現できる。
This is because the interphase voltage value V12 between the first phase and the second phase with respect to the second phase of the three-phase alternating current is defined as in claim 2.
And the inter-phase voltage value V between the second phase and the third phase based on the second phase
32, the neutral point potential value V02 viewed from the second phase can be realized by estimating the neutral point potential value V02 using an equation of V02 = 1/3 × (V12 + V32).

【0015】更に請求項3のように、前記相間電圧値V
12と前記相間電圧値V32と前記中性点電位値V02
を用いて、中性点電位値V02からみた第1相の相電圧
値V10と、中性点電位値V02からみた第2相の相電
圧値V20と、中性点電位値V02からみた第3相の相
電圧値V30を、 V10=V12−V02 V20=−V02 V30=V32−V02 の式を用いて測定することが可能となる。
Further, the inter-phase voltage value V
12, the inter-phase voltage value V32 and the neutral point potential value V02
, The first phase voltage value V10 viewed from the neutral point potential value V02, the second phase phase voltage value V20 viewed from the neutral point potential value V02, and the third phase voltage value V02 viewed from the neutral point potential value V02. The phase voltage value V30 of the phase can be measured using the following equation: V10 = V12−V02 V20 = −V02 V30 = V32−V02.

【0016】請求項4に記載の発明では、中性点電位値
及びこの中性点電位値からみた各相の相電圧値を用いて
三相交流の電圧実効値を測定する三相交流測定方法にお
いて、前記中性点電位値V02からみた第1相の相電圧
とV10と、前記中性点電位値V02からみた第2相の
相電圧値V20と、前記中性点電位値V02からみた第
3相の相電圧値V30から合成ベクトル信号を生成し、
この合成ベクトル信号の大きさに係数を乗算して電圧実
効値を求めるように構成されたことを特徴とする。
According to a fourth aspect of the present invention, there is provided a three-phase AC measuring method for measuring a three-phase AC voltage effective value using a neutral point potential value and a phase voltage value of each phase viewed from the neutral point potential value. In the above, the phase voltage of the first phase and V10 viewed from the neutral point potential value V02, the phase voltage value of the second phase V20 viewed from the neutral point potential value V02, and the second phase voltage viewed from the neutral point potential value V02. Generating a composite vector signal from the three-phase voltage values V30;
The magnitude of the combined vector signal is multiplied by a coefficient to obtain a voltage effective value.

【0017】このことにより、三相交流の電圧実効値を
各相の相電圧を合成して得られたベクトルのスカラー量
から直接求めることが可能となる。また、前記各相の相
電圧に瞬時値を用いることによって、三相交流の瞬時電
圧実効値を求めることが可能となる。
Thus, the effective voltage value of the three-phase alternating current can be directly obtained from the scalar quantity of the vector obtained by synthesizing the phase voltages of the respective phases. Further, by using the instantaneous value for the phase voltage of each phase, it is possible to obtain the instantaneous voltage effective value of the three-phase alternating current.

【0018】これは、請求項5のように、三相交流の電
圧実効値を各相の相電圧を合成して得られたベクトルの
スカラー量に、√2/3を乗ずることによって実現でき
る。
This can be realized by multiplying the scalar amount of the vector obtained by synthesizing the phase effective voltage of each phase with the effective voltage value of the three-phase alternating current by √2 / 3.

【0019】請求項6に記載の発明では、中性点電位値
及びこの中性電位値からみた各相の相電圧を用いて三相
交流の周波数値を測定する三相交流測定方法において、
前記中性点電位値V02からみた第1相の相電圧値V1
0と、前記中性点電位値V02からみた第2相の相電圧
値V20と、前記中性点電位値V02からみた第3相の
相電圧値V30から合成ベクトル信号を生成し、この合
成ベクトル信号の回転角速度に係数を乗算して瞬時周波
数値を求めるように構成されたことを特徴とする特徴と
する。
In the three-phase alternating current measuring method for measuring the frequency value of three-phase alternating current by using a neutral point potential value and a phase voltage of each phase viewed from the neutral potential value,
The phase voltage value V1 of the first phase viewed from the neutral point potential value V02
0, a phase voltage value V20 of the second phase viewed from the neutral point potential value V02, and a phase voltage value V30 of the third phase viewed from the neutral point potential value V02, to generate a synthesized vector signal. The instantaneous frequency value is obtained by multiplying the rotation angular velocity of the signal by a coefficient.

【0020】このことにより、三相交流の周波数値を各
相の相電圧を合成して得られたベクトルの回転角速度に
係数を乗じて求めることが可能となる。また、前記各相
の相電圧に瞬時値を用いることによって、三相交流の瞬
時周波数値を求めることが可能となる。
Thus, the frequency value of the three-phase alternating current can be obtained by multiplying the rotation angular velocity of the vector obtained by synthesizing the phase voltages of the respective phases by a coefficient. Further, by using an instantaneous value for the phase voltage of each phase, an instantaneous frequency value of three-phase alternating current can be obtained.

【0021】請求項7に記載の発明では、中性点電位値
及びこの中性電位値からみた各相の相電圧値び相電流値
を用いて三相交流の瞬時電力値を測定する三相交流測定
方法において、各相毎の瞬時相電流値と瞬時相電圧値を
乗算し、各相毎の瞬時電力値を求め、これらを加算して
三相交流の瞬時電力値を求めるように構成されたことを
特徴とする
According to the present invention, the three-phase instantaneous power value is measured by using the neutral point potential value and the phase voltage value and the phase current value of each phase viewed from the neutral potential value. In the AC measurement method, the instantaneous phase current value and the instantaneous phase voltage value of each phase are multiplied to obtain an instantaneous power value of each phase, and these are added to obtain an instantaneous power value of three-phase AC. Characterized by

【0022】このことにより、三相交流の瞬時電力測定
時に、負荷及び電源の変動に対して応答性の良い瞬時電
力測定を行うことが可能となる。
Thus, when measuring the instantaneous power of the three-phase AC, it is possible to perform the instantaneous power measurement with good responsiveness to the fluctuation of the load and the power supply.

【0023】[0023]

【発明の実施の形態】以下図面を用いて本発明を詳しく
説明する。本発明の三相交流用測定器において従来例と
異なる点は、図2における従来の三相交流用測定器に中
性点電位推定部2を備えた点である。このような構成の
三相交流用測定器が行う動作を図1に示した構成図を用
いて詳しく説明する。
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS The present invention will be described below in detail with reference to the drawings. The three-phase alternating current measuring device of the present invention is different from the conventional example in that the conventional three-phase alternating current measuring device shown in FIG. The operation performed by the three-phase AC measuring instrument having such a configuration will be described in detail with reference to the configuration diagram shown in FIG.

【0024】図1における三相交流用測定器において、
電圧入力部31は、三相交流の第1相と第2相に接続さ
れ第2相を基準とした第1相と第2相の電圧値V12を
測定し、電圧入力部51は、三相交流の第3相と第2相
に接続され第2相を基準とした第3相と第2相の電圧値
V32を測定する。ここで得られた電圧値V12とV3
2はAD変換器32及び52によってデジタル値に変換
され中性点電位推定部6に入力される。
In the three-phase AC measuring instrument shown in FIG.
The voltage input unit 31 is connected to the first phase and the second phase of the three-phase alternating current, and measures the voltage values V12 of the first phase and the second phase with reference to the second phase. A voltage value V32 of the third and second phases connected to the third and second phases of the alternating current is measured with reference to the second phase. The voltage values V12 and V3 obtained here
2 is converted into a digital value by the AD converters 32 and 52 and input to the neutral point potential estimating unit 6.

【0025】電流入力部34と44と54は各相の電源
線に直列に接続され、それぞれの相の電流値を測定す
る。ここで得られた各相の電流値はAD変換器35と4
5と55によってデジタル値に変換され電力算出部37
に入力される。尚、ここで求められた電圧値及び電流値
は各入力に対する瞬時値である。
The current input sections 34, 44 and 54 are connected in series to the power supply lines of each phase, and measure the current value of each phase. The current values of the respective phases obtained here are converted into AD converters 35 and 4
It is converted into a digital value by 5 and 55 and the power calculation unit 37
Is input to The voltage value and current value obtained here are instantaneous values for each input.

【0026】中性点電位推定部6は、第2相からみた中
性点電位値V02を、前記電圧値V12とV32を用い
て、 V02=1/3×(V12+V32) (1) として推定する。
The neutral point potential estimating unit 6 estimates the neutral point potential value V02 as viewed from the second phase as V02 = 1/3 × (V12 + V32) (1) using the voltage values V12 and V32. .

【0027】また、上記の中性点電位値V02からみた
第1相の電圧値V10と第2相の電圧値V20と第3相
の電圧値V30は、それぞれ、 V10=V12−V02 (2) V20=−V02 (3) V30=V32−V02 (4) と表すことができる。これは、三相三線式交流をY結線
し三相四線式交流と考えた時の各相の電圧値に対応して
いる。
The first-phase voltage value V10, the second-phase voltage value V20, and the third-phase voltage value V30, as viewed from the neutral point potential value V02, are as follows: V10 = V12-V02 (2) V20 = −V02 (3) V30 = V32−V02 (4) This corresponds to the voltage value of each phase when the three-phase three-wire AC is Y-connected and considered as a three-phase four-wire AC.

【0028】本発明の三相交流用測定器5では、中性点
電位推定部6によって上記(1)式の演算を行い、この
出力を反転器7に入力し、その出力を加算器8によって
AD変換器32の出力と加算することによって、上記
(2)式に表された第1相の電圧V値10を求めてい
る。
In the three-phase AC measuring instrument 5 of the present invention, the calculation of the above equation (1) is performed by the neutral point potential estimating section 6, the output is inputted to the inverter 7, and the output is outputted by the adder 8. By adding to the output of the AD converter 32, the voltage V value 10 of the first phase expressed by the above equation (2) is obtained.

【0029】同様に、上記反転器7の出力を加算器9に
よってAD変換器52の出力と加算することによって、
上記(4)式に表された第3相の電圧V30を求めてい
る。また、上記反転器7の出力はそのまま上記(3)式
によって表された第2相の電圧値V20である。
Similarly, by adding the output of the inverter 7 to the output of the AD converter 52 by the adder 9,
The voltage V30 of the third phase expressed by the above equation (4) is obtained. The output of the inverter 7 is the voltage value V20 of the second phase expressed by the above equation (3).

【0030】次に、本発明の三相交流用測定器5は、上
記の構成によって求められた、加算器8の出力である第
1相の電圧値V10と、反転器7の出力である第2相の
電圧値V20と、加算器9の出力である第3相の電圧値
V30をそれぞれ、従来例と同様に各相に対応する電圧
実効値算出部36、46、56と電力算出部37、4
7、57に入力し各相の電圧実効値と電力値を算出す
る。
Next, the measuring device 5 for three-phase AC of the present invention uses the voltage V10 of the first phase, which is the output of the adder 8, and the voltage V10, which is the output of the inverter 7, obtained by the above configuration. The two-phase voltage value V20 and the third-phase voltage value V30, which is the output of the adder 9, are respectively converted to the effective voltage value calculation units 36, 46, 56 and the power calculation unit 37 corresponding to each phase, similarly to the conventional example. , 4
7 and 57 to calculate the effective voltage value and electric power value of each phase.

【0031】2次演算処理部60は、従来例と同様に各
相毎の電圧実効値と電力値から三相電源の三相交流の代
表値を算出すると共に、これらの値を表示部70に表示
する。
The secondary arithmetic processing unit 60 calculates the representative values of the three-phase alternating current of the three-phase power source from the effective voltage value and the electric power value of each phase as in the conventional example, and displays these values on the display unit 70. indicate.

【0032】このようにして、本発明の三相交流用測定
器5は、三相三線式交流を外部に抵抗等の外部機器を用
いること無く、各相の値及び総電力値等の三相交流の代
表値を測定し、これを表示部70に選択表示することが
可能である。
As described above, the three-phase AC measuring instrument 5 of the present invention can convert three-phase three-wire AC into three-phase AC values without using external devices such as resistors. It is possible to measure a representative value of the alternating current and selectively display the measured value on the display unit 70.

【0033】また、2次演算処理部60や電力算出部3
7,47,57等を用いて行う三相交流の代表値を算出
する方法についても様々な方法がある。
The secondary operation processing unit 60 and the power calculation unit 3
There are various methods for calculating a representative value of three-phase alternating current performed using 7, 47, 57, and the like.

【0034】例えば、上記各相の電圧を用いて合成ベク
トル信号を生成し、これに係数を乗算して電圧実効値及
び周波数値を求めることが可能である。この方法を用い
ることによって、電圧変動に対して応答性のよい電圧測
定器を構成することが可能である。(また、以下に説明
する三相交流の各相の電圧を用いて合成ベクトル信号を
生成し、これに係数を乗算して電圧実効値及び周波数値
を求める方法は、図1に説明した三相交流用測定器5を
用いて実現できることは言うまでもないが、図2で説明
した従来の三相交流用測定器や三相四線式の測定器を用
いても僅かの変更を施すことによって実現することが可
能である。)
For example, it is possible to generate a combined vector signal using the voltages of the respective phases and multiply this by a coefficient to obtain the effective voltage value and the frequency value. By using this method, it is possible to configure a voltage measuring device having good responsiveness to voltage fluctuation. (Also, a method of generating a combined vector signal using voltages of the three-phase alternating current phases described below and multiplying the resultant by a coefficient to obtain a voltage effective value and a frequency value is described in FIG. Needless to say, it can be realized by using the AC measuring instrument 5, but it can be realized by using the conventional three-phase AC measuring instrument or the three-phase four-wire measuring instrument described with reference to FIG. Is possible.)

【0035】例えば、図1の構成によって求めた各相の
電圧V10、V20、V30を用いて、三相電圧の瞬時
ベクトルV0を複素平面上に表すと、 V0=V10×(1+j0)+V20×(−1+j√3)/2+V30×(−1 −j√3)/2 (5) である。但し、j=虚数単位である。
For example, when the instantaneous vector V0 of the three-phase voltage is represented on a complex plane using the voltages V10, V20, and V30 of the respective phases obtained by the configuration shown in FIG. −1 + j√3) / 2 + V30 × (−1−j√3) / 2 (5) Here, j = imaginary unit.

【0036】ここで、上記三相電圧の瞬時ベクトルV0
の絶対値即ち長さは三相交流の総電力値に相当し、上記
(5)式の実部と虚数部の2乗和の平方根を求めること
によって得ることができる。
Here, the instantaneous vector V0 of the three-phase voltage is obtained.
Is the total power value of the three-phase alternating current, and can be obtained by calculating the square root of the sum of squares of the real part and the imaginary part of the above equation (5).

【0037】またここで求めた上記三相電圧の瞬時ベク
トルV0の絶対値に√2/3を乗ずることによって、Y
結線電源各相の電圧実効値を求めることができる。この
値は、電源が無歪で一定振幅の対称三相であって、この
電源を対称三相負荷に供給する場合であれば、時間によ
らず一定値となる。このため、歪みの小さい対称電源の
電圧を測定する場合にはリップルフィルタを用いる必要
が無くなる。
By multiplying the absolute value of the instantaneous vector V0 of the three-phase voltage obtained above by √ / 2/3, Y
The effective voltage value of each phase of the connection power supply can be obtained. This value is constant regardless of time if the power supply is a symmetrical three-phase with no distortion and a constant amplitude and this power supply is supplied to a symmetrical three-phase load. Therefore, when measuring the voltage of a symmetric power supply with small distortion, it is not necessary to use a ripple filter.

【0038】更に、上記(5)式で求めた三相電圧の瞬
時ベクトルV0の偏角θを求めることによって、三相交
流の周波数を求めることが可能である。その方法を以下
に説明する。
Further, the frequency of the three-phase alternating current can be obtained by obtaining the argument θ of the instantaneous vector V0 of the three-phase voltage obtained by the above equation (5). The method will be described below.

【0039】三相電圧の瞬時ベクトルV0の偏角θは、 θ=tan 1((V0の虚数部)/(V0の実部)) (6) で求めることができる。また、角周波数ωは、 ω=(θ(t)−θ(t- Δ t))/Δt (7) で求めることができる。但し、 θ(t) :現在のベクトルV0の偏角 θ(t- Δ t) :Δt時間過去のベクトルV0の偏角 Δt :計測周期 である。The argument θ of the instantaneous vector V0 of the three-phase voltage can be obtained by θ = tan 1 ((imaginary part of V0) / (real part of V0)) (6) Furthermore, the angular frequency omega can be obtained by ω = (θ (t) -θ (t- Δ t)) / Δt (7). However, θ (t): deflection angle theta of the current vector V0 (t- Δ t): angle of deviation Delta] t time past vector V0 Delta] t: a measurement cycle.

【0040】ここで、上記(7)式によって求めた角周
波数ωと三相電源の周波数は比例関係にあるので、これ
に適当な係数を乗ずることによって瞬時周波数を求める
ことが可能である。
Here, since the angular frequency ω obtained by the above equation (7) and the frequency of the three-phase power supply are in a proportional relationship, it is possible to obtain the instantaneous frequency by multiplying this by an appropriate coefficient.

【0041】また、上記(5)式では、規定ベクトルと
して、(1+j0)と(−1+j√3)/2と(−1−
j√3)/2を用いたが、絶対値が等しく120度毎の
角度を持った3個のベクトルを用いれば上記(5)式と
同様の効果を得ることが可能である。
In the above equation (5), (1 + j0), (−1 + j√3) / 2 and (−1−
Although j√3) / 2 is used, the same effect as the above equation (5) can be obtained by using three vectors having the same absolute value and an angle of every 120 degrees.

【0042】また、上記に説明した三相交流の総電力値
を求める方法の他にも、各相の瞬時電流値と瞬時電圧値
を用いて三相交流の総電力値を求める方法がある。これ
は、図1の三相交流用測定器においては、電力算出部3
7、47、57と2次演算処理部60を用いて、各相毎
に瞬時電流値と瞬時電圧値を乗算し各相毎の瞬時電力値
を求め、これらを加算することによって三相交流の総電
力値を求める方法である。
In addition to the method of calculating the total power value of the three-phase AC described above, there is a method of calculating the total power value of the three-phase AC using the instantaneous current value and instantaneous voltage value of each phase. This is because in the three-phase AC measuring device of FIG.
The instantaneous current value and the instantaneous voltage value are multiplied for each phase by using 7, 47, 57 and the secondary arithmetic processing unit 60 to obtain the instantaneous power value for each phase. This is a method for obtaining the total power value.

【0043】この方法を用いることによって得られた三
相交流の総電力値は、電源が無歪で一定振幅の対称三相
であって、この電源を対称三相負荷に供給する場合であ
れば、負荷の力率によらず一定値となる。このため、歪
みの小さい対称電源の電圧を測定する場合にはリップル
フィルタを用いる必要が無くなる。また、上述した三相
交流の各相の瞬時電流値と瞬時電圧値を用いて三相交流
の総電力値を求める方法は、図1に説明した三相交流用
測定器5を用いて実現できることは言うまでもないが、
図2で説明した従来の三相交流用測定器や三相四線式の
測定器を用いても実現することが可能である。
The total power value of the three-phase alternating current obtained by using this method is as follows if the power supply is a symmetrical three-phase power supply having no distortion and a constant amplitude, and this power supply is supplied to a symmetrical three-phase load. , Is constant regardless of the power factor of the load. Therefore, when measuring the voltage of a symmetric power supply with small distortion, it is not necessary to use a ripple filter. Further, the above-described method of calculating the total power value of the three-phase AC using the instantaneous current value and instantaneous voltage value of each phase of the three-phase AC can be realized using the three-phase AC measuring device 5 described in FIG. Needless to say,
The present invention can also be realized by using a conventional three-phase AC measuring device or a three-phase four-wire measuring device described with reference to FIG.

【0044】なお、以上の説明は、本発明の説明および
例示を目的として特定の好適な実施例を示したに過ぎな
い。したがって本発明は、上記実施例に限定されること
なく、その本質から逸脱しない範囲で更に多くの変更、
変形をも含むものである。
It should be noted that the foregoing description has been directed to specific preferred embodiments for the purpose of illustration and illustration of the invention. Therefore, the present invention is not limited to the above-described embodiments, and includes many more modifications without departing from the spirit thereof.
This includes deformation.

【0045】[0045]

【発明の効果】以上説明したことから明らかなように、
本発明によれば次のような効果がある。請求項1から3
に記載の発明では、三相交流の電圧または電力を測定す
るとき、中性点電位が得られない場合であっても、抵抗
等による外部回路を用いることなく擬似的な三相四線式
測定が測定器のみで可能となる。またこの機能は、従来
の三相交流用測定器のハードウェアをほぼそのまま利用
し、僅かの回路の追加とソフトウェアの改造を行うのみ
で容易に実現することが可能である。
As is apparent from the above description,
According to the present invention, the following effects can be obtained. Claims 1 to 3
According to the invention described in (3), when measuring the voltage or power of three-phase alternating current, even if a neutral point potential cannot be obtained, a pseudo three-phase four-wire measurement without using an external circuit such as a resistor. Is possible only with a measuring instrument. In addition, this function can be easily realized by using the hardware of the conventional three-phase AC measuring instrument almost as it is, and adding only a few circuits and modifying the software.

【0046】請求項4から7に記載の発明では、負荷及
び電源の変動に対して応答性のよい三相交流の測定を実
現することが可能となる。特にインバータ応用機器等で
極低周波の三相交流電圧測定時に、各相毎にリップルを
除去する必要がないため、測定が容易となる。また、本
発明の三相交流の測定方法によれば瞬時電圧に基づく測
定が可能であるため、例えば電圧値をグラフにして表示
するような装置に適用すれば負荷の急変に依存する電圧
変動等を観測者に通知することも可能となる。
According to the inventions described in claims 4 to 7, it becomes possible to realize a three-phase alternating current measurement with good responsiveness to changes in load and power supply. In particular, when measuring an extremely low frequency three-phase AC voltage with an inverter-applied device or the like, it is not necessary to remove a ripple for each phase, so that the measurement is facilitated. In addition, according to the three-phase alternating current measurement method of the present invention, measurement based on instantaneous voltage is possible. For example, if the present invention is applied to a device that displays a voltage value as a graph, voltage fluctuation depending on a sudden change in load, etc. To the observer.

【図面の簡単な説明】[Brief description of the drawings]

【図1】本発明に係る三相交流用測定器の実施例を示す
構成図である。。
FIG. 1 is a configuration diagram showing an embodiment of a three-phase AC measuring instrument according to the present invention. .

【図2】従来の三相交流用測定器の一例を示す構成図で
ある。
FIG. 2 is a configuration diagram illustrating an example of a conventional three-phase AC measuring instrument.

【符号の説明】[Explanation of symbols]

1,5 三相交流用測定器 6 中性点電位推定部 7 反転器 8,9 加算器 21,22,23 抵抗 31、41、51 電圧入力部 32、42、52 AD変換器 34、44、54 電流入力部 35、45、55 AD変換器 36、46、56 電圧実効値算出部 37、47、57 電力算出部 60 2次演算処理部 70 表示部 1,5 Three-phase AC measuring device 6 Neutral point potential estimating unit 7 Inverter 8,9 Adder 21,22,23 Resistance 31,41,51 Voltage input unit 32,42,52 AD converter 34,44, 54 current input unit 35, 45, 55 AD converter 36, 46, 56 voltage effective value calculation unit 37, 47, 57 power calculation unit 60 secondary calculation processing unit 70 display unit

Claims (7)

【特許請求の範囲】[Claims] 【請求項1】三相三線式交流の少なくとも総電力値、周
波数値、各相の電圧値を測定する三相交流用測定器にお
いて、 各相の相電流値をそれぞれ測定する電流測定回路と、 各相間の相間電圧値をそれぞれ測定する電圧測定回路
と、 前記各相の相電流値及び各相間の相間電圧値から演算手
段を用いて中性点電位値を推定する中性点電位推定部
と、 前記各相の相電流値及び各相の相間電圧値と前記中性点
電位値から、三相交流の少なくとも総電力値、周波数
値、各相の電圧値を求める2次演算処理部を備えたこと
を特徴とする三相交流用測定器。
1. A three-phase AC measuring device for measuring at least a total power value, a frequency value, and a voltage value of each phase of a three-phase three-wire AC, a current measuring circuit for measuring a phase current value of each phase, A voltage measurement circuit for measuring the inter-phase voltage value between the respective phases, and a neutral point potential estimating unit for estimating the neutral point potential value from the phase current value of each phase and the inter-phase voltage value between the phases using arithmetic means. A secondary operation processing unit for obtaining at least a total power value, a frequency value, and a voltage value of each phase of the three-phase alternating current from the phase current value of each phase, the inter-phase voltage value of each phase, and the neutral point potential value. A three-phase alternating current measuring device.
【請求項2】前記中性点電位推定部は、三相交流の第2
相を基準とした第1相と第2相の相間電圧値V12と、
第2相を基準とした第2相と第3相の相間電圧値V32
によって、第2相からみた中性点電位値V02を、 V02=1/3×(V12+V32) の式を用いて推定するように構成されたことを特徴とす
る請求項1に記載の三相交流用測定器。
2. The method according to claim 1, wherein the neutral point potential estimating unit is configured to output a three-phase AC
An inter-phase voltage value V12 of the first phase and the second phase based on the phase;
Inter-phase voltage value V32 between the second phase and the third phase based on the second phase
The three-phase alternating current according to claim 1, wherein the neutral point potential value V02 viewed from the second phase is estimated using an equation of V02 = 1/3 x (V12 + V32). Measuring instrument.
【請求項3】前記中性点電位推定部は、前記相間電圧値
V12と前記相間電圧値V32と前記中性点電位値V0
2を用いて、中性点電位値V02からみた第1相の相電
圧値V10と、中性点電位値V02からみた第2相の相
電圧値V20と、中性点電位値V02からみた第3相の
相電圧値V30を、 V10=V12−V02 V20=−V02 V30=V32−V02 の式を用いて各相の相電圧値を推定するように構成され
たことを特徴とする請求項1に記載の三相交流用測定
器。
3. The neutral point potential estimating section includes: the interphase voltage value V12, the interphase voltage value V32, and the neutral point potential value V0.
2, the phase voltage value V10 of the first phase viewed from the neutral point potential value V02, the phase voltage value V20 of the second phase viewed from the neutral point potential value V02, and the phase voltage value V20 viewed from the neutral point potential value V02. 2. The method according to claim 1, wherein the three phase voltage values V30 are estimated using the following equation: V10 = V12-V02 V20 = -V02 V30 = V32-V02. The measuring device for three-phase alternating current described in 3.
【請求項4】中性点電位値及びこの中性点電位値からみ
た各相の相電圧値を用いて三相交流の電圧実効値を測定
する三相交流測定方法において、 前記中性点電位値V02からみた第1相の相電圧値V1
0と、前記中性点電位値V02からみた第2相の相電圧
値V20と、前記中性点電位値V02からみた第3相の
相電圧値V30から合成ベクトル信号を生成し、この合
成ベクトル信号の大きさに係数を乗算して電圧実効値を
求めるように構成されたことを特徴とする三相交流測定
方法。
4. A three-phase AC measuring method for measuring a three-phase AC voltage effective value using a neutral point potential value and a phase voltage value of each phase viewed from the neutral point potential value, Phase voltage value V1 of the first phase viewed from value V02
0, a phase voltage value V20 of the second phase viewed from the neutral point potential value V02, and a phase voltage value V30 of the third phase viewed from the neutral point potential value V02, to generate a synthesized vector signal. A three-phase AC measurement method characterized in that the magnitude of the signal is multiplied by a coefficient to obtain an effective voltage value.
【請求項5】前記係数は、√2/3であることを特徴と
する請求項4に記載の三相交流測定方法。
5. The three-phase alternating current measurement method according to claim 4, wherein the coefficient is √2 / 3.
【請求項6】中性点電位値及びこの中性電位値からみた
各相の相電圧を用いて三相交流の周波数値を測定する三
相交流測定方法において、 前記中性点電位値V02からみた第1相の相電圧値V1
0と、前記中性点電位値V02からみた第2相の相電圧
値V20と、前記中性点電位値V02からみた第3相の
相電圧値V30から合成ベクトル信号を生成し、この合
成ベクトル信号の回転角速度に係数を乗算して瞬時周波
数値を求めるように構成されたことを特徴とする特徴と
する三相交流測定方法。
6. A three-phase alternating current measuring method for measuring a three-phase alternating current frequency value using a neutral point potential value and a phase voltage of each phase viewed from the neutral potential value, the method comprising: The phase voltage value V1 of the first phase viewed
0, a phase voltage value V20 of the second phase viewed from the neutral point potential value V02, and a phase voltage value V30 of the third phase viewed from the neutral point potential value V02, to generate a synthesized vector signal. A three-phase AC measurement method, characterized in that an instantaneous frequency value is obtained by multiplying a rotation angular velocity of a signal by a coefficient.
【請求項7】中性点電位値及びこの中性電位値からみた
各相の相電圧値び相電流値を用いて三相交流の瞬時電力
値を測定する三相交流測定方法において、 各相毎の瞬時相電流値と瞬時相電圧値を乗算し、各相毎
の瞬時電力値を求め、これらを加算して三相交流の瞬時
電力値を求めるように構成されたことを特徴とする三相
交流測定方法。
7. A three-phase AC measuring method for measuring an instantaneous power value of three-phase AC using a neutral point potential value and a phase voltage value and a phase current value of each phase viewed from the neutral potential value. The instantaneous power value of each phase is multiplied by the instantaneous phase current value and the instantaneous phase voltage value of each phase, and the instantaneous power value of each phase is added to obtain the instantaneous power value of three-phase AC. Phase alternating current measurement method.
JP14124699A 1999-05-21 1999-05-21 Measuring instrument for three-phase AC Expired - Lifetime JP3491676B2 (en)

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JP2012173110A (en) * 2011-02-21 2012-09-10 Yokogawa Electric Corp Three-phase power measuring device
WO2013047940A1 (en) * 2011-09-26 2013-04-04 한국전력공사 Electronic power meter for detecting an n phase current based on waveform superposition of a three phase input current, and n phase current detecting method using same
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Cited By (10)

* Cited by examiner, † Cited by third party
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KR100909284B1 (en) 2009-01-09 2009-08-06 대승기전(주) The wattmeter upon phases
US8981755B2 (en) 2009-06-29 2015-03-17 Aloys Wobben Method and device for monitoring the state of a network
JP2015111131A (en) * 2009-06-29 2015-06-18 アロイス・ヴォベン Method and device for monitoring network state
US9970968B2 (en) 2009-06-29 2018-05-15 Wobben Properties Gmbh Method and device for monitoring the state of a network
EP2449387B1 (en) * 2009-06-29 2019-05-15 Wobben Properties GmbH Method and device for monitoring the state of a network
EP3531141A1 (en) * 2009-06-29 2019-08-28 Wobben Properties GmbH Method and device for network condition monitoring
JP2012173110A (en) * 2011-02-21 2012-09-10 Yokogawa Electric Corp Three-phase power measuring device
WO2013047940A1 (en) * 2011-09-26 2013-04-04 한국전력공사 Electronic power meter for detecting an n phase current based on waveform superposition of a three phase input current, and n phase current detecting method using same
CN108732419A (en) * 2017-04-24 2018-11-02 日置电机株式会社 Three phase power measurement device
JP2018185149A (en) * 2017-04-24 2018-11-22 日置電機株式会社 Three-phase electric power measuring apparatus

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