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JPS622271B2 - - Google Patents
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JPS622271B2 - - Google Patents

Info

Publication number
JPS622271B2
JPS622271B2 JP52053285A JP5328577A JPS622271B2 JP S622271 B2 JPS622271 B2 JP S622271B2 JP 52053285 A JP52053285 A JP 52053285A JP 5328577 A JP5328577 A JP 5328577A JP S622271 B2 JPS622271 B2 JP S622271B2
Authority
JP
Japan
Prior art keywords
square
parabolic
multiplier
difference
characteristic element
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.)
Expired
Application number
JP52053285A
Other languages
Japanese (ja)
Other versions
JPS52153779A (en
Inventor
Do Furiisu Yakobu
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Siemens Building Technologies AG
Original Assignee
Landis and Gyr Immobilien AG
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by Landis and Gyr Immobilien AG filed Critical Landis and Gyr Immobilien AG
Publication of JPS52153779A publication Critical patent/JPS52153779A/en
Publication of JPS622271B2 publication Critical patent/JPS622271B2/ja
Granted legal-status Critical Current

Links

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R21/00Arrangements for measuring electric power or power factor
    • G01R21/10Arrangements for measuring electric power or power factor by using square-law characteristics of circuit elements, e.g. diodes, to measure power absorbed by loads of known impedance
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R21/00Arrangements for measuring electric power or power factor
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R21/00Arrangements for measuring electric power or power factor
    • G01R21/133Arrangements for measuring electric power or power factor by using digital technique

Landscapes

  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Measurement Of Current Or Voltage (AREA)
  • Measuring Instrument Details And Bridges, And Automatic Balancing Devices (AREA)
  • Measuring Frequencies, Analyzing Spectra (AREA)
  • Measurement Of The Respiration, Hearing Ability, Form, And Blood Characteristics Of Living Organisms (AREA)

Description

【発明の詳細な説明】 この発明は電気エネルギーあるいは出力測定の
ための放物線掛算器に関する。
DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a parabolic multiplier for measuring electrical energy or power.

静的な手段で電気エネルギーあるいは出力を測
定するための多くの方法が知られている。このた
め必要な電圧と電流の積は数式 (u+i)−(u−i)=4ui を用いた放物線掛算器を利用してつくられる。こ
こでuは電圧の瞬時値をiは電流の瞬時値を意味
する。変数uとiの和と差の二乗を形成するため
に多角形線により必要な二乗特性を近似した二乗
特性素子を利用することができる。また半導体素
子の二乗特性を近似的に利用することも知られて
いる。さらに二乗特性素子として熱変換器と実効
値変換器を利用することができる。また二乗特性
素子を一つだけ用いた放物線掛算器も知られてお
り、この二乗性素子には、ダイオード回路を用い
て変数の和と差、詳しくは電源電圧の正の半波期
間の和と負の半波期間の差がそれぞれ交互に印加
される。この場合ダイオード回路のダイオードに
おける電圧降下は、顕著な測定誤差の原因となり
うる。特にダイオードの非対称は零点誤差を引き
起こす。その他に正弦波からの偏差(電源高調
波、非線形の負荷によるひずみ)によつて大きな
測定誤差が生じる。
Many methods are known for measuring electrical energy or power by static means. Therefore, the required product of voltage and current is created using a parabolic multiplier using the formula (u+i) 2 -(u-i) 2 =4ui. Here, u means an instantaneous value of voltage, and i means an instantaneous value of current. In order to form the square of the sum and difference of variables u and i, it is possible to use a square characteristic element that approximates the necessary square characteristic by a polygonal line. It is also known to approximately utilize the square-law characteristic of semiconductor elements. Furthermore, a heat converter and an effective value converter can be used as square characteristic elements. A parabolic multiplier using only one square characteristic element is also known, and this square characteristic element uses a diode circuit to calculate the sum and difference of variables, more specifically, the sum and difference of positive half-wave periods of the power supply voltage. Each negative half-wave period difference is applied alternately. In this case, voltage drops across the diodes of the diode circuit can cause significant measurement errors. In particular, diode asymmetry causes zero point errors. In addition, large measurement errors occur due to deviations from the sine wave (power supply harmonics, distortion due to nonlinear loads).

本発明は二乗特性素子の入力回路にダイオード
を必要とせず、また正弦波からずれた場合でもエ
ネルギーまたは出力を正しく測定する放物線掛算
器を提供することを目的とする。
SUMMARY OF THE INVENTION An object of the present invention is to provide a parabolic multiplier that does not require a diode in the input circuit of a square characteristic element and can accurately measure energy or output even when the wave deviates from a sine wave.

次に本発明の二つの実施例を図面に基いて詳細
に説明する。
Next, two embodiments of the present invention will be described in detail with reference to the drawings.

第1図において1は変流器を意味しその一次巻
線には負荷電流Iが流れ、またその二次巻線はリ
ード線2,3を介して二乗特性素子5の入力4と
基準電位(アース)に接続される。リード線2,
3には、極性切換スイツチ6が接続される。二乗
特性素子5の入力4は抵抗7を介して電源電圧U
に接続され一方その出力は切換スイツチ8の一方
の位置においては、直接出力抵抗10に、他の位
置においてはアナログ・インバーター9を介して
出力抵抗10に接続される。
In FIG. 1, 1 means a current transformer, the load current I flows through its primary winding, and the input 4 of the square characteristic element 5 and the reference potential ( connected to ground). Lead wire 2,
3 is connected to a polarity changeover switch 6. The input 4 of the square characteristic element 5 is connected to the power supply voltage U via a resistor 7.
while its output is connected directly to an output resistor 10 in one position of the changeover switch 8 and via an analog inverter 9 in the other position.

CMOS―アナログ・スイツチから構成される極
性切換スイツチ6と切換スイツチ8はクロツク発
生器11により制御される。このクロツク発生器
はパルス周波数tと同じ長さの半サイクルTa
bを有する対称な矩形パルス列を発生する。
The polarity changeover switch 6 and the changeover switch 8, which are composed of CMOS-analog switches, are controlled by a clock generator 11. This clock generator generates a symmetrical rectangular pulse train with half cycles T a and T b of the same length as the pulse frequency t .

変流器1と抵抗7は極性切換スイツチ6の位置
に応じて加算器あるいは減算器として作動する。
半サイクルTa間では、二乗特性素子5の入力4
における入力電流Ieに対して Iea=Iu+Ii が成り立ち、半サイクルTb間では Ieb=Iu−Ii が成り立つ。ただしIuは抵抗7における電流を
iは変流器1の二次巻線における電流を意味す
る。
The current transformer 1 and the resistor 7 operate as an adder or a subtracter depending on the position of the polarity switch 6.
During the half cycle T a , the input 4 of the square characteristic element 5
For input current I e at , I ea = I u + I i holds true, and I eb = I u - I i holds true during half cycle T b . Here, I u means the current in the resistor 7 and I i means the current in the secondary winding of the current transformer 1.

二乗特性素子5は出力電流Iaを発生しその値
は入力電流Ieの二乗に相当する。出力抵抗10
における電圧Uaに対して半サイクルTa間では Uaa=K1・Iea =K1(Iu+Ii が成り立ち、半サイクルTb間では Uab=−K1・Ieb =−K1(Iu−Ii が成り立つ。ただしK1は定数を意味する。
The square-law characteristic element 5 generates an output current I a whose value corresponds to the square of the input current I e . Output resistance 10
For the voltage U a in half cycle T a , U aa = K 1 · I ea 2 = K 1 (I u + I i ) 2 holds, and during half cycle T b , U ab = -K 1 · I eb 2 = −K 1 (I u −I i ) 2 holds true. However, K 1 means a constant.

電圧Uaの平均値aa=Uaa+Uab/2=2K1・Iui になる。電流IuとIiは電源電圧Uの瞬時値と負
荷電流Iの瞬時値に相当する。
The average value a of the voltage U a is a = U aa + U ab /2 = 2K 1 · I u I i . The currents I u and I i correspond to the instantaneous values of the power supply voltage U and the load current I.

したがつて a=2K・U/R・U・I・cos となる。ただしU¨は変流器1の変圧比を、Rは抵
抗7の抵抗値をcosは位相角を意味する。
Therefore, a = 2K 1・U/R・U・I・cos. However, U¨ means the transformation ratio of the current transformer 1, R means the resistance value of the resistor 7, and cos means the phase angle.

説明した方法ではダイオードが不要であり、ダ
イオードの電圧降下により測定結果に誤差が生じ
ない。クロツク発生器11のパルス周波数t
電源周波数と比較して十分に高く選ぶかまたは無
関係に選ぶこともできるので正弦波からの偏差に
より測定誤差は生じない。
The method described does not require diodes and voltage drops across the diode do not introduce errors in the measurement results. The pulse frequency t of the clock generator 11 can be chosen sufficiently high compared to the power supply frequency or can be chosen independently so that deviations from the sine wave do not result in measurement errors.

第2図において第1図の参照番号と同じ参照番
号は同じ部分を示している。二乗特性素子として
ここでは制御入力13を有する制御可能な発振器
12が用いられる。この発振器の出力は可逆カン
ター15のカウント入力14に接続され、そのカ
ウント方向制御入力16はクロツク発生器11に
接続される。
In FIG. 2, the same reference numerals as those in FIG. 1 indicate the same parts. A controllable oscillator 12 with a control input 13 is used here as a square-law characteristic element. The output of this oscillator is connected to a count input 14 of a reversible counter 15, whose count direction control input 16 is connected to a clock generator 11.

制御可能な発振器12はパルス列を発生しその
パルス周波数aは、制御信号Ieの二乗に関係す
る。このような発振器は、よく知られているので
ここでは詳細に説明しない。列えば時分割掛算器
においてしばしばマーク・スペース変調器として
用いられる発振器を利用することができる。そし
てその関係は、 ap〔1−(I/I〕 を満たす。ただしpはIe=0でのパルス周波数
をIrは定数を意味する。
A controllable oscillator 12 generates a pulse train whose pulse frequency a is related to the square of the control signal Ie . Such oscillators are well known and will not be described in detail here. For example, oscillators often used as mark-space modulators in time-sharing multipliers can be used. The relationship satisfies a = p [1-( Ie / Ir ) 2 ]. However, p means the pulse frequency at I e =0, and I r means a constant.

この種の発振器を利用する場合、半サイクルT
a間では、 aap〔1−(I+I/I〕 がまた半サイクルTb間では abp〔1−(I−I/I〕 が成り立つ。
When using this type of oscillator, half a cycle T
Between a , aa = p [1-(I u +I i /I r ) 2 ] holds, and between half cycles T b , ab = p [1-(I u -I i /I r ) 2 ] holds.

可逆カウンター15は前進方向における半サイ
クルTb間と後進方向における半サイクルTa間で
の発振器のパルスを数える。
A reversible counter 15 counts the oscillator pulses between half cycles T b in the forward direction and between half cycles T a in the reverse direction.

可逆カウンターの出力におけるパルス周波数
sssbaa/2N=2/N・I
u・Ii である。ただしNは、カウンター15の分周比を
意味する。パルス周波数aが電源周波数と比較
して十分に大きい時、したがつて入力信号Ie
瞬時値に相当する時、パルス周波数sは実効電
力の尺度を表わし、一方可逆カウンター15のそ
の時々のカウント状態は電気出力に対応する。
Pulse frequency at the output of the reversible counter
s is s = sb - aa /2N=2 p /N・I r 2
I u・I i . However, N means the frequency division ratio of the counter 15. When the pulse frequency a is sufficiently large compared to the mains frequency and thus corresponds to the instantaneous value of the input signal I e , the pulse frequency s represents a measure of the effective power, while the current count of the reversible counter 15 The state corresponds to the electrical output.

【図面の簡単な説明】[Brief explanation of the drawing]

第1図は、本発明の一実施例による電圧出力を
有する放物線掛算器の回路図、第2図は本発明の
他の実施例による周波数出力を有する放物線掛算
器の回路図である。 1……変流器、5,12……二乗特性素子、6
……切換スイツチ、11……クロツク発生器、1
5……可逆カウンター。
FIG. 1 is a circuit diagram of a parabolic multiplier with a voltage output according to one embodiment of the invention, and FIG. 2 is a circuit diagram of a parabolic multiplier with a frequency output according to another embodiment of the invention. 1... Current transformer, 5, 12... Square characteristic element, 6
...Selector switch, 11...Clock generator, 1
5...Reversible counter.

Claims (1)

【特許請求の範囲】 1 電源電圧ないし消費電流に比例する二つの変
数の和と差を形成するための加算器と減算器と、
この変数の和の二乗と差の二乗を交互に形成する
ための二乗特性素子と、この変数の和の二乗と差
の二乗との差を形成するための減算器とを有する
電気エネルギーあるいは出力測定のための放物線
掛算器において、二乗特性素子5;12の入力
4;13はスイツチ6に接続され、そのスイツチ
の一方の位置では変数の和が、また他方の位置で
はその差が二乗特性素子5;12に印加され、前
記スイツチ6はクロツク発生器11により制御さ
れ、そのクロツク発生器は電源周波数に比較して
大きいかまたはこの電源周波数とは無関係なパル
ス周波数tをもつ対称矩形パルス列を発生する
ことを特徴とする前記の放物線掛算器。 2 特許請求の範囲第1項に記載の放物線掛算器
において、二乗特性素子5の出力は、クロツク発
生器11により制御されるスイツチ8が一方の位
置にあるときは直接にまた他方の位置にあるとき
はアナログインバーター9を介して出力抵抗10
に接続されることを特徴とする前記の放物線掛算
器。 3 特許請求の範囲第1項に記載の放物線掛算器
において、二乗特性素子12は制御可能な発振器
であり、その周波数は制御信号Ieの二乗に関係
し、またその出力は可逆カウンター15のカウン
ト入力に接続され、可逆カウンター15のカウン
ト方向制御入力16はクロツク発生器11に接続
されることを特徴とする前記の放物線掛算器。
[Claims] 1. An adder and a subtracter for forming the sum and difference of two variables proportional to power supply voltage or current consumption;
An electrical energy or power measurement having a square characteristic element for forming alternately the square of the sum and the square of the difference of this variable, and a subtractor for forming the difference between the square of the sum and the square of the difference of this variable. In the parabolic multiplier for, the inputs 4; 13 of the square characteristic element 5; 12 are connected to a switch 6, of which in one position the sum of the variables and in the other position the difference thereof 12, said switch 6 is controlled by a clock generator 11 which generates a symmetrical rectangular pulse train with a pulse frequency t that is large compared to or independent of the mains frequency. The parabolic multiplier as described above. 2. In the parabolic multiplier according to claim 1, the output of the square characteristic element 5 is directly when the switch 8 controlled by the clock generator 11 is in one position and in the other position. When the output resistor 10 is connected via the analog inverter 9
Said parabolic multiplier, characterized in that said parabolic multiplier is connected to. 3. In the parabolic multiplier according to claim 1, the square characteristic element 12 is a controllable oscillator whose frequency is related to the square of the control signal I e and whose output is the count of the reversible counter 15 A parabolic multiplier as described above, characterized in that the count direction control input 16 of the reversible counter 15 is connected to the clock generator 11.
JP5328577A 1976-06-15 1977-05-11 Parabola multiplier for measuring electric energy or output Granted JPS52153779A (en)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CH763076A CH607037A5 (en) 1976-06-15 1976-06-15

Publications (2)

Publication Number Publication Date
JPS52153779A JPS52153779A (en) 1977-12-21
JPS622271B2 true JPS622271B2 (en) 1987-01-19

Family

ID=4328112

Family Applications (1)

Application Number Title Priority Date Filing Date
JP5328577A Granted JPS52153779A (en) 1976-06-15 1977-05-11 Parabola multiplier for measuring electric energy or output

Country Status (7)

Country Link
JP (1) JPS52153779A (en)
CH (1) CH607037A5 (en)
DE (1) DE2710294C3 (en)
FR (1) FR2355296A1 (en)
GB (1) GB1537425A (en)
NL (1) NL7706562A (en)
YU (1) YU139177A (en)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20020145415A1 (en) * 2001-04-09 2002-10-10 Vanremmen William John Method and apparatus for determining the instantaneous power of a sinusoidal signal

Also Published As

Publication number Publication date
DE2710294A1 (en) 1977-12-22
YU139177A (en) 1982-05-31
DE2710294B2 (en) 1978-06-29
CH607037A5 (en) 1978-11-30
FR2355296A1 (en) 1978-01-13
FR2355296B3 (en) 1979-04-27
NL7706562A (en) 1977-12-19
DE2710294C3 (en) 1979-02-15
JPS52153779A (en) 1977-12-21
GB1537425A (en) 1978-12-29

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