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KR20090088493A - Complex capacitive measuring device - Google Patents

Complex capacitive measuring device Download PDF

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Publication number
KR20090088493A
KR20090088493A KR1020080013787A KR20080013787A KR20090088493A KR 20090088493 A KR20090088493 A KR 20090088493A KR 1020080013787 A KR1020080013787 A KR 1020080013787A KR 20080013787 A KR20080013787 A KR 20080013787A KR 20090088493 A KR20090088493 A KR 20090088493A
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South Korea
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variable voltage
voltage means
complex
measuring device
resistance
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KR100968896B1 (en
Inventor
김규태
송운
김문석
정연욱
김완섭
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한국표준과학연구원
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R27/00—Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
    • G01R27/02—Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
    • G01R27/26—Measuring inductance or capacitance; Measuring quality factor, e.g. by using the resonance method; Measuring loss factor; Measuring dielectric constants ; Measuring impedance or related variables
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R19/00—Arrangements for measuring currents or voltages or for indicating presence or sign thereof
    • G01R19/145—Indicating the presence of current or voltage
    • G01R19/15—Indicating the presence of current
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R27/00—Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
    • G01R27/02—Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
    • G01R27/08—Measuring resistance by measuring both voltage and current
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R27/00—Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
    • G01R27/02—Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
    • G01R27/26—Measuring inductance or capacitance; Measuring quality factor, e.g. by using the resonance method; Measuring loss factor; Measuring dielectric constants ; Measuring impedance or related variables
    • G01R27/2605—Measuring capacitance
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R9/00—Instruments employing mechanical resonance
    • G01R9/02—Vibration galvanometers, e.g. for measuring current

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Measurement Of Resistance Or Impedance (AREA)
  • Measuring Instrument Details And Bridges, And Automatic Balancing Devices (AREA)

Abstract

본 발명은 복소 전기용량 측정 장치에 관한 것으로, 보다 상세하게는 크기 및 위상이 다른 두 개의 독립적인 가변전압원과 저항을 이용하여 브릿지 법에 의해 복소 전기용량을 측정하는 복소 전기용량 측정 장치에 관한 것이다.The present invention relates to a complex capacitive measuring device, and more particularly, to a complex capacitive measuring device for measuring the complex capacitance by the bridge method using two independent variable voltage source and resistance of different magnitudes and phases. .

이를 위한 본 발명은 브릿지 법에 의한 복소 전기용량 측정 장치에 있어서, 소정의 전압이 인가되는 제 1 가변전압수단 및 제 2 가변전압수단, 저항, 및 전기용량이 측정되는 커패시터의 순으로 직렬 연결되어 폐루프를 형성하며 상기 제 1 가변전압수단 및 제 2 가변전압수단의 사이와 상기 저항 및 커패시터 사이에 병렬 연결되는 탐지수단을 포함하여 구성되는 특징이 있다.In the complex capacitance measuring device by the bridge method for this purpose, the first variable voltage means and the second variable voltage means to which a predetermined voltage is applied, the resistance, and the capacitor is measured in series in order And a detecting means which forms a closed loop and is connected in parallel between the first variable voltage means and the second variable voltage means and between the resistor and the capacitor.

Description

복소 전기용량 측정 장치 {Apparatus for measurement of complex capacitance}Complex capacitive measuring device {Apparatus for measurement of complex capacitance}

본 발명은 복소 전기용량 측정 장치에 관한 것으로, 보다 상세하게는 크기 및 위상이 다른 두 개의 독립적인 가변 전압원과 저항을 이용하여 브릿지(Bridge) 법에 의해 복소 전기용량을 측정하는 복소 전기용량 측정 장치에 관한 것이다.The present invention relates to a complex capacitive measuring device, and more particularly, a complex capacitive measuring device for measuring a complex capacitance by the bridge method using two independent variable voltage sources and resistors of different sizes and phases. It is about.

일반적으로 전기용량은 정전기용량(정전용량) 또는 커패시턴스(Capacitance)라고도 한다. 축전기 역할을 하는 회로에서 도체의 모양이나 도체 판 사이를 절연하고 있는 유전체에 의해 정해지며, 도체 계에서는 용량계수(Capacity coefficient)가 사용되고 SI단위는 패럿(F)이다. 이상적인 평행판 축전기(Capacitor)의 경우, 축전기의 전기용량 C의 크기는 전극의 면적 A에 비례하고, 전극 사이의 거리 d에 반비례한다. 전극 사이의 유전체의 유전율을 엡실론(ε)이라고 하면, 전기용량 C는 하기의 수학식 1과 같다.In general, capacitance is also called electrostatic capacitance (capacitance) or capacitance (Capacitance). In the circuit acting as a capacitor, it is determined by the shape of the conductor or the dielectric that insulates between the conductor plates. In the conductor system, the capacity coefficient is used and the SI unit is parrot (F). In the case of an ideal parallel plate capacitor, the magnitude of the capacitance C of the capacitor is proportional to the area A of the electrode and inversely proportional to the distance d between the electrodes. Assuming that the dielectric constant of the dielectric between the electrodes is epsilon (ε), the capacitance C is expressed by Equation 1 below.

Figure 112008011366492-PAT00001
Figure 112008011366492-PAT00001

따라서 전극의 표면적이 클수록, 간격이 좁을수록, 또 유전체의 유전율이 클수록 전기용량이 커진다.Therefore, the larger the surface area of the electrode, the narrower the gap, and the larger the dielectric constant of the dielectric, the larger the capacitance.

종래의 전기용량 측정 장치는 가변전압 및 커패시터를 이용하여 소정의 식을 통하여 측정된다. 도 1은 종래의 전기용량 측정 장치를 나타낸 회로도이다. 도 1을 참조하여 종래의 전기용량 측정 장치에 대해 설명한다.Conventional capacitive measuring device is measured through a predetermined equation using a variable voltage and a capacitor. 1 is a circuit diagram showing a conventional capacitance measuring device. A conventional capacitive measuring device will be described with reference to FIG. 1.

도 1에 도시된 바와 같이, 종래의 전기용량 측정 장치는 가변전압원(1), 제 1 커패시터(

Figure 112008011366492-PAT00002
), 및 제 2 커패시터(
Figure 112008011366492-PAT00003
)를 직렬로 연결한 후 상기 제 1 커패시터(
Figure 112008011366492-PAT00004
) 및 제 2 커패시터(
Figure 112008011366492-PAT00005
) 사이와 상기 가변전압원(1)을 연결하여 구성된다. As shown in FIG. 1, the conventional capacitance measuring device includes a variable voltage source 1 and a first capacitor (
Figure 112008011366492-PAT00002
), And a second capacitor (
Figure 112008011366492-PAT00003
) Is connected in series and the first capacitor (
Figure 112008011366492-PAT00004
) And the second capacitor (
Figure 112008011366492-PAT00005
And the variable voltage source 1 are connected.

상기 제 1 커패시터(

Figure 112008011366492-PAT00006
)의 값은 미리 정해진 값을 사용하며 상기 가변전압원(1)의 값은 사용자에 의해 설정되는 값이다.The first capacitor (
Figure 112008011366492-PAT00006
Is a predetermined value, and the value of the variable voltage source 1 is a value set by a user.

상기 제 2 커패시터(

Figure 112008011366492-PAT00007
)의 값은 상기 제 1 커패시터(
Figure 112008011366492-PAT00008
) 값 및 가변전압원(1)의 값에 따라 측정된다. 상기 측정에 이용되는 수식은 통상의 당업자라면 알고 있는 것이므로 자세한 설명은 생략한다.The second capacitor (
Figure 112008011366492-PAT00007
Value of the first capacitor (
Figure 112008011366492-PAT00008
) And the value of the variable voltage source 1. Since the formula used for the measurement is known to those skilled in the art, detailed description thereof will be omitted.

상기와 같은 종래의 전기용량 측정 장치는 커패시터의 크기가 크고 단가가 높아서 반도체로 구현하기에는 어려운 문제점이 있다. 또한, 전술한 측정 장치의 비교적 간단한 회로구성은 커패시터 측정의 정확도에 대해 신뢰성을 낮추는 문제점이 있다.Conventional capacitive measuring device as described above has a problem that it is difficult to implement a semiconductor because of the large size and high cost of the capacitor. In addition, the relatively simple circuit configuration of the above-described measuring device has a problem of lowering the reliability with respect to the accuracy of capacitor measurement.

여기서, 커패시터 측정의 정확도를 높이기 위해 복소 전기용량 측정을 이용한다. 복소 전기용량이라 함은 커패시터에 작은 손실 (Loss) 성분이 포함되어 있는 일반적인 경우로 전기용량을 하기의 수학식 2와 같이 복소수로 표시한 것을 말한다.Here, complex capacitive measurements are used to increase the accuracy of capacitor measurements. The complex capacitance is a general case in which a small loss component is included in the capacitor, and the capacitance is expressed by a complex number as shown in Equation 2 below.

Figure 112008011366492-PAT00009
Figure 112008011366492-PAT00009

상기 수학식 2에서

Figure 112008011366492-PAT00010
은 복소 전기용량,
Figure 112008011366492-PAT00011
는 정전용량,
Figure 112008011366492-PAT00012
는 복소수
Figure 112008011366492-PAT00013
,
Figure 112008011366492-PAT00014
는 손실계수이다.In Equation 2
Figure 112008011366492-PAT00010
Silver complex capacitance,
Figure 112008011366492-PAT00011
Is the capacitance,
Figure 112008011366492-PAT00012
Is a complex number
Figure 112008011366492-PAT00013
,
Figure 112008011366492-PAT00014
Is the loss factor.

한편, 복소 전기용량을 측정한다 함은 정전용량

Figure 112008011366492-PAT00015
와 손실계수
Figure 112008011366492-PAT00016
두개 변수를 측정함을 말한다. On the other hand, measuring complex capacitance means
Figure 112008011366492-PAT00015
And loss factor
Figure 112008011366492-PAT00016
Measures two variables.

본 발명은 상기와 같은 문제점을 해결하기 위해 안출된 것으로서 본 발명의 전기용량 측정 장치는 크기 및 위상이 다른 두 개의 독립적인 가변전압원 및 저항을 이용하여 듀얼 소스 브릿지의 원리에 따라 복소 전기용량을 측정하는 장치를 제공함을 그 목적으로 한다.The present invention has been made to solve the above problems, the capacitive measuring device of the present invention is to measure the complex capacitance according to the principle of the dual source bridge using two independent variable voltage source and resistance of different size and phase It is an object of the present invention to provide an apparatus.

상기한 목적을 달성하기 위한 본 발명의 복소 전기용량 측정 장치는 브릿지 법에 의한 복소 전기용량 측정 장치에 있어서, 소정의 전압이 인가되는 제 1 가변전압수단(

Figure 112008011366492-PAT00017
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00018
), 저항(
Figure 112008011366492-PAT00019
), 및 전기용량이 측정되는 커패시터(
Figure 112008011366492-PAT00020
)의 순으로 직렬 연결되어 폐루프를 형성하며 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00021
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00022
)의 사이와 상기 저항(
Figure 112008011366492-PAT00023
) 및 커패시터(
Figure 112008011366492-PAT00024
) 사이에 병렬 연결되어 탐지부(35)의 전류흐름을 탐지하는 탐지수단(30)을 포함하여 구성되는 것을 특징으로 가진다.The complex capacitance measuring apparatus of the present invention for achieving the above object is a complex capacitance measuring apparatus by the bridge method, the first variable voltage means to which a predetermined voltage is applied (
Figure 112008011366492-PAT00017
) And second variable voltage means (
Figure 112008011366492-PAT00018
), resistance(
Figure 112008011366492-PAT00019
), And the capacitor on which the capacitance is measured (
Figure 112008011366492-PAT00020
Are connected in series to form a closed loop and the first variable voltage means (
Figure 112008011366492-PAT00021
) And second variable voltage means (
Figure 112008011366492-PAT00022
Between and the resistance (
Figure 112008011366492-PAT00023
) And capacitors (
Figure 112008011366492-PAT00024
It is characterized in that it comprises a detection means 30 is connected in parallel between the detection means for detecting the current flow of the detector (35).

여기서, 상기 제 1 가변전압수단(

Figure 112008011366492-PAT00025
), 제 2 가변전압수단(
Figure 112008011366492-PAT00026
), 및 저항(
Figure 112008011366492-PAT00027
)의 값은 사용자의 선택에 따라 정해지는 것을 특징으로 가지며 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00028
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00029
)이 공급하는 전압은 크기 및 위상이 조절되는 것을 특징으로 가진다.Here, the first variable voltage means (
Figure 112008011366492-PAT00025
), The second variable voltage means (
Figure 112008011366492-PAT00026
), And resistance (
Figure 112008011366492-PAT00027
) Is determined according to a user's selection, and the first variable voltage means (
Figure 112008011366492-PAT00028
) And second variable voltage means (
Figure 112008011366492-PAT00029
The voltage supplied by) is characterized in that the magnitude and phase are adjusted.

또한, 상기 제 1 가변전압수단(

Figure 112008011366492-PAT00030
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00031
)의 크기는 차이 가 있으며 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00032
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00033
)의 위상은 차이가 있는 것을 특징으로 가지고 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00034
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00035
)은 독립 전원인 것을 특징으로 가진다.In addition, the first variable voltage means (
Figure 112008011366492-PAT00030
) And second variable voltage means (
Figure 112008011366492-PAT00031
) Are different in size, and the first variable voltage means (
Figure 112008011366492-PAT00032
) And second variable voltage means (
Figure 112008011366492-PAT00033
Phase of the first variable voltage means
Figure 112008011366492-PAT00034
) And second variable voltage means (
Figure 112008011366492-PAT00035
) Is an independent power source.

한편, 상기 탐지수단(30)은 검류계인 것을 특징으로 가지며 상기 검류계는 탐지부(35)의 전류 흐름여부를 측정하는 것을 특징으로 가진다.On the other hand, the detection means 30 is characterized in that the galvanometer and the galvanometer is characterized in that it measures the current flow of the detector 35.

또한, 상기 저항(

Figure 112008011366492-PAT00036
)의 저항 값을 선택하고 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00037
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00038
)의 크기와 위상을 각각 조절하여 상기 검류계에 의해 전류가 흐르지 않음으로 측정되면 하기의 수학식 3에 의해 상기 커패시터(
Figure 112008011366492-PAT00039
)의 전기용량 값을 측정하는 것을 특징으로 가진다.In addition, the resistance (
Figure 112008011366492-PAT00036
Select the resistance value of the first variable voltage means (
Figure 112008011366492-PAT00037
) And second variable voltage means (
Figure 112008011366492-PAT00038
If the current is not measured by the galvanometer by adjusting the size and phase of each), the capacitor (
Figure 112008011366492-PAT00039
It is characterized by measuring the capacitance value of).

Figure 112008011366492-PAT00040
Figure 112008011366492-PAT00040

여기서,

Figure 112008011366492-PAT00041
은 제 1 가변전압수단의 전압 값,
Figure 112008011366492-PAT00042
는 제 2 가변전압수단의 전압 값,
Figure 112008011366492-PAT00043
는 복소수,
Figure 112008011366492-PAT00044
는 각 주파수, C 및 D는 각기 측정하고자 하는 커패시터의 정전용량 및 손실계수 값이며,
Figure 112008011366492-PAT00045
이다.here,
Figure 112008011366492-PAT00041
Is the voltage value of the first variable voltage means,
Figure 112008011366492-PAT00042
Is the voltage value of the second variable voltage means,
Figure 112008011366492-PAT00043
Is a complex number,
Figure 112008011366492-PAT00044
Where each frequency, C and D are the capacitance and loss factor values of the capacitor to be measured,
Figure 112008011366492-PAT00045
to be.

본 발명에 따른 복소 전기용량 측정 장치는 커패시터 대신에 저항을 사용하여 반도체로 구현할 수 있으며 듀얼 소스 브릿지의 원리에 따라 복소 전기용량을 측정하므로 비교적 정확한 복소 전기용량을 측정하는 효과가 있다.The complex capacitance measuring device according to the present invention can be implemented as a semiconductor using a resistor instead of a capacitor, and the complex capacitance is measured according to the principle of the dual source bridge, so that the complex capacitance can be measured.

이하 첨부한 도면들을 참조하여 본 발명의 복소 전기용량 측정장치를 상세히 설명한다. 다음에 소개되는 도면들은 당업자에게 본 발명의 사상이 충분히 전달될 수 있도록 하기 위해 예로서 제공되는 것이다. 따라서 본 발명은 이하 제시되는 도면들에 한정되지 않고 다른 형태로 구체화될 수도 있다. 또한 명세서 전체에 걸쳐서 동일한 참조번호들은 동일한 구성요소들을 나타낸다.Hereinafter, the complex capacitance measuring apparatus of the present invention will be described in detail with reference to the accompanying drawings. The drawings introduced below are provided by way of example so that the spirit of the invention to those skilled in the art can fully convey. Therefore, the present invention is not limited to the drawings presented below and may be embodied in other forms. Also, like reference numerals denote like elements throughout the specification.

이때, 사용되는 기술 용어 및 과학 용어에 있어서 다른 정의가 없다면, 이 발명이 속하는 기술 분야에서 통상의 지식을 가진 자가 통상적으로 이해하고 있는 의미를 가지며, 하기의 설명 및 첨부 도면에서 본 발명의 요지를 불필요하게 흐릴 수 있는 공지 기능 및 구성에 대한 설명은 생략한다.At this time, if there is no other definition in the technical terms and scientific terms used, it has a meaning commonly understood by those of ordinary skill in the art to which the present invention belongs, the gist of the present invention in the following description and the accompanying drawings Descriptions of well-known functions and configurations that may be unnecessarily blurred are omitted.

우선 브릿지 회로에 대해서 설명한다. 상기 브릿지 회로는 캐패시턴스 또는 임피던스의 측정 및 저항의 측정을 위해 고안되었다. 상기 브릿지 회로의 원리에 대해 브릿지 회로가 도시되어 있는 도 2를 참조하여 그 원리에 대해 알아본다.First, the bridge circuit will be described. The bridge circuit is designed for measuring capacitance or impedance and for measuring resistance. The principle of the bridge circuit will be described with reference to FIG. 2 where the bridge circuit is shown.

도 2는 저항으로 구성되는 브리지회로의 가장 일반적인 형식인 휘이트스톤 브리지(Wheatstone bridge) 회로로서 저항의 정밀측정에 사용된다. 브리지회로는 저항, 직류 전압원, 고감도의 검류계(Galvanometer)로 구성된다. 제 1 고정저항(

Figure 112008011366492-PAT00046
), 제 2 고정저항(
Figure 112008011366492-PAT00047
), 및 가변저항(
Figure 112008011366492-PAT00048
)의 저항 값은 알고 있으며, 측정하고자 하는 측정용 저항(
Figure 112008011366492-PAT00049
)을 제 2 노드(b)와 제 3 노드(c)사이에 연결하여 휘이트스톤의 검류계(10)의 지시계가 "0"이 되는 정확한 평형점을 찾아 측정용 저항(
Figure 112008011366492-PAT00050
)을 측정한다. 제 1 고정저항(
Figure 112008011366492-PAT00051
) 및 제 2 고정저항(
Figure 112008011366492-PAT00052
)은 비례변 (ratio arm)이라고 하며, 가변저항(
Figure 112008011366492-PAT00053
)은 기준변(standard arm)이라고 하며, 상기 검류계(10)는 전류가 흐르지 않을 때는 눈금 중앙의 "0"을 지시하는 계기이다. 제 3 노드(c)와 제 4 노드(d) 사이에 전위차가 있다면 상기 검류계(10)를 통해서 전류가 흐르며, 전위차가 없다면 상기 검류계(10)의 지침은 평형상태인 "0"을 가리키게 된다.2 is a Wheatstone bridge circuit, which is the most common type of bridge circuit composed of a resistor, and is used for precise measurement of resistance. The bridge circuit consists of a resistor, a direct current voltage source and a high sensitivity galvanometer. First fixed resistance (
Figure 112008011366492-PAT00046
), The second fixed resistor (
Figure 112008011366492-PAT00047
), And variable resistor (
Figure 112008011366492-PAT00048
The resistance value of) is known and the measurement resistance (
Figure 112008011366492-PAT00049
) Is connected between the second node (b) and the third node (c) to find the exact equilibrium point at which the indicator of the galvanometer 10 of the Wheatstone becomes "0".
Figure 112008011366492-PAT00050
Measure First fixed resistance (
Figure 112008011366492-PAT00051
) And the second fixed resistor (
Figure 112008011366492-PAT00052
) Is called the ratio arm, and the variable resistor (
Figure 112008011366492-PAT00053
) Is called a standard arm, and the galvanometer 10 is an instrument indicating "0" at the center of the scale when no current flows. If there is a potential difference between the third node (c) and the fourth node (d), current flows through the galvanometer 10, and if there is no potential difference, the instructions of the galvanometer 10 point to "0" which is the equilibrium state.

그러므로 평형상태가 아니라면 가변저항(

Figure 112008011366492-PAT00054
)를 변화시켜 상기 검류계(10)에 전류가 흐르지 않도록 평형상태를 만든 후 측정용 저항(
Figure 112008011366492-PAT00055
) 값을 하기 수학식 4를 이용하여 계산한다.Therefore, the variable resistor (
Figure 112008011366492-PAT00054
) By making an equilibrium state so that a current does not flow through the galvanometer 10 by changing the resistance for measurement (
Figure 112008011366492-PAT00055
) Value is calculated using Equation 4 below.

Figure 112008011366492-PAT00056
Figure 112008011366492-PAT00056

상기 수학식 4는 브리지 회로에 Kirchhoff의 법칙을 적용하여 구할 수가 있다. 상기 브리지 회로가 평형상태 이면 제 5 전류(

Figure 112008011366492-PAT00057
)의 값은 "0"이 되고, Kirchhoff의 전류법칙에 의해 하기 수학식 5 및 수학식 6을 구할 수 있다.Equation 4 can be obtained by applying Kirchhoff's law to the bridge circuit. If the bridge circuit is in equilibrium, the fifth current (
Figure 112008011366492-PAT00057
) Is " 0 ", and the following equations (5) and (6) can be obtained by Kirchhoff's current law.

Figure 112008011366492-PAT00058
Figure 112008011366492-PAT00058

Figure 112008011366492-PAT00059
Figure 112008011366492-PAT00059

상기 제 5 전류(

Figure 112008011366492-PAT00060
)의 값이 "0"이고 상기 검류계(10)에 전압이 걸리지 않으므로 제 3 노드(c)와 제 4 노드(d)는 등전압이 된다. 또한 Kirchhoff의 전압법칙에 의해 하기 수학식 7 및 수학식 8과 같이 나타낼 수 있다.The fifth current (
Figure 112008011366492-PAT00060
) Value is "0" and no voltage is applied to the galvanometer 10, so that the third node c and the fourth node d become an equipotential voltage. In addition, by the voltage law of Kirchhoff can be represented by the following equation (7) and (8).

Figure 112008011366492-PAT00061
Figure 112008011366492-PAT00061

Figure 112008011366492-PAT00062
Figure 112008011366492-PAT00062

상기 수학식 5 및 수학식 6을 수학식 7에 대입하면 하기 수학식 9가 된다.Substituting Equations 5 and 6 into Equation 7 results in Equation 9 below.

Figure 112008011366492-PAT00063
Figure 112008011366492-PAT00063

따라서 하기의 수학식 10이 성립한다.Therefore, Equation 10 below holds true.

Figure 112008011366492-PAT00064
Figure 112008011366492-PAT00064

상기 수학식 10에 의하여 측정용 저항(

Figure 112008011366492-PAT00065
)의 값은 하기의 수학식 11과 같이 결정된다.The resistance for measurement by Equation 10
Figure 112008011366492-PAT00065
) Is determined as in Equation 11 below.

Figure 112008011366492-PAT00066
Figure 112008011366492-PAT00066

본 발명은 전술한 종래 기술의 문제를 해결하기 위해 상기 휘이트스톤 브릿지 회로의 원리를 응용한 듀얼 소스 브릿지(Dual source bridge)의 원리를 이용한다. 상기 듀얼 소스 브릿지의 원리에 대해서 도 3을 참조하여 설명하면 다음과 같다.The present invention utilizes the principle of a dual source bridge applying the principle of the Wheatstone bridge circuit to solve the above-mentioned problems of the prior art. The principle of the dual source bridge will be described with reference to FIG. 3.

도 3에 도시된 바와 같이, 상기 듀얼 소스 브릿지는 소정의 전압이 인가되는 제 1 전압원(

Figure 112008011366492-PAT00067
) 및 제 2 전압원(
Figure 112008011366492-PAT00068
), 제 1 저항(
Figure 112008011366492-PAT00069
), 및 제 2 저항(
Figure 112008011366492-PAT00070
)의 순으로 직렬 연결되어 폐루프를 형성하며 상기 제 1 전압원(
Figure 112008011366492-PAT00071
) 및 제 2 전압원(
Figure 112008011366492-PAT00072
)의 사이와 상기 제 1 저항(
Figure 112008011366492-PAT00073
) 및 제 2 저항(
Figure 112008011366492-PAT00074
) 사이에 병렬 연결되는 듀얼 소스 브릿지의 검류계(20)를 포함하여 구성된다.As shown in FIG. 3, the dual source bridge includes a first voltage source to which a predetermined voltage is applied.
Figure 112008011366492-PAT00067
) And the second voltage source (
Figure 112008011366492-PAT00068
), The first resistor (
Figure 112008011366492-PAT00069
), And the second resistor (
Figure 112008011366492-PAT00070
Are connected in series to form a closed loop and the first voltage source (
Figure 112008011366492-PAT00071
) And the second voltage source (
Figure 112008011366492-PAT00072
Between and the first resistance (
Figure 112008011366492-PAT00073
) And the second resistor (
Figure 112008011366492-PAT00074
It is configured to include a galvanometer (20) of the dual source bridge connected in parallel between).

상기 검류계(20)가 "0"을 가리키면 상기 듀얼 소스 브릿지는 평형상태가 되며 하기의 수학식 12가 성립한다.When the galvanometer 20 indicates "0", the dual source bridge is in an equilibrium state, and Equation 12 below is established.

Figure 112008011366492-PAT00075
Figure 112008011366492-PAT00075

상기 수학식 12에서

Figure 112008011366492-PAT00076
은 제 1 전압원,
Figure 112008011366492-PAT00077
는 제 2 전압원,
Figure 112008011366492-PAT00078
는 제 1 저항,
Figure 112008011366492-PAT00079
는 제 2 저항이다. 여기서, 제 1 전압원(
Figure 112008011366492-PAT00080
) 및 제 2 전압원(
Figure 112008011366492-PAT00081
)의 값은 알고 있기 때문에 상기 식을 통해서 제 1 저항(
Figure 112008011366492-PAT00082
) 및 제 2 저항(
Figure 112008011366492-PAT00083
)의 비를 알 수 있다.In Equation 12
Figure 112008011366492-PAT00076
Silver first voltage source,
Figure 112008011366492-PAT00077
Is the second voltage source,
Figure 112008011366492-PAT00078
Is the first resistor,
Figure 112008011366492-PAT00079
Is the second resistance. Here, the first voltage source (
Figure 112008011366492-PAT00080
) And the second voltage source (
Figure 112008011366492-PAT00081
) Is known, so the first resistor (
Figure 112008011366492-PAT00082
) And the second resistor (
Figure 112008011366492-PAT00083
) Can be seen.

상기 수학식 11이 성립하는 원리는 다음과 같다. 도 2의 회로도에서 상기 검류계(20)가 "0"을 지시하여 회로가 평형상태가 되면 상기 검류계(20)가 구비된 측에는 전류가 흐르지 않는다는 것을 의미한다. 그러므로 상기 제 1 저항(

Figure 112008011366492-PAT00084
) 및 제 2 저항(
Figure 112008011366492-PAT00085
)은 직렬연결이 되며 상기 제 1 저항(
Figure 112008011366492-PAT00086
) 및 제 2 저항(
Figure 112008011366492-PAT00087
)에는 동일한 전류가 흐른다. The principle of Equation 11 is as follows. In the circuit diagram of FIG. 2, when the galvanometer 20 indicates “0” and the circuit is in an equilibrium state, it means that no current flows to the side where the galvanometer 20 is provided. Therefore, the first resistor (
Figure 112008011366492-PAT00084
) And the second resistor (
Figure 112008011366492-PAT00085
) Is connected in series and the first resistor (
Figure 112008011366492-PAT00086
) And the second resistor (
Figure 112008011366492-PAT00087
) The same current flows through.

따라서 옴의 법칙에 의해 계산되는 제 1 저항(

Figure 112008011366492-PAT00088
)에 흐르는 전류
Figure 112008011366492-PAT00089
및 제 2 저항(
Figure 112008011366492-PAT00090
)에 흐르는 전류
Figure 112008011366492-PAT00091
는 같은 값을 가지게 되어 상기 수학식 12를 확인할 수 있다.Therefore, the first resistance calculated by Ohm's law (
Figure 112008011366492-PAT00088
Current flowing through
Figure 112008011366492-PAT00089
And a second resistor (
Figure 112008011366492-PAT00090
Current flowing through
Figure 112008011366492-PAT00091
Has the same value to confirm Equation 12.

전술한 듀얼 소스 브릿지의 원리를 이용하여 본 발명에 대하여 도 4를 참조하여 설명한다. 도 4는 본 발명에 따른 전기용량 측정 장치의 회로도이다.The present invention will be described with reference to FIG. 4 using the principle of the dual source bridge described above. 4 is a circuit diagram of a capacitive measuring device according to the present invention.

도 4에 도시된 바와 같이, 본 발명은 소정의 전압이 인가되는 제 1 가변전압수단(

Figure 112008011366492-PAT00092
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00093
), 저항(
Figure 112008011366492-PAT00094
), 및 전기용량이 측정되는 측정용 커패시터(
Figure 112008011366492-PAT00095
)의 순으로 직렬 연결되어 폐루프를 형성하며 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00096
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00097
)의 사이와 상기 저항(
Figure 112008011366492-PAT00098
) 및 측정용 커패시터(
Figure 112008011366492-PAT00099
) 사이에 병렬 연결되는 탐지수단(30)을 포함하여 구성된다.As shown in FIG. 4, the present invention provides a first variable voltage means to which a predetermined voltage is applied (
Figure 112008011366492-PAT00092
) And second variable voltage means (
Figure 112008011366492-PAT00093
), resistance(
Figure 112008011366492-PAT00094
) And the measurement capacitor (
Figure 112008011366492-PAT00095
Are connected in series to form a closed loop and the first variable voltage means (
Figure 112008011366492-PAT00096
) And second variable voltage means (
Figure 112008011366492-PAT00097
Between and the resistance (
Figure 112008011366492-PAT00098
) And measuring capacitors (
Figure 112008011366492-PAT00099
It is configured to include a detection means 30 connected in parallel between the).

여기서, 상기 탐지수단(30)은 상기 듀얼 소스 브릿지와 같은 검류계인 것이 바람직하다.Here, the detection means 30 is preferably a galvanometer such as the dual source bridge.

우선, 상기 제 1 가변전압수단(

Figure 112008011366492-PAT00100
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00101
)은 독립 전압원이며 서로 다른 크기 및 위상을 가지도록 설정한다. 또한, 상기 저항(
Figure 112008011366492-PAT00102
)은 사용자의 선택에 의해 결정되어진다. 이처럼 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00103
) 값, 제 2 가변전압수단(
Figure 112008011366492-PAT00104
) 값, 및 저항(
Figure 112008011366492-PAT00105
) 값은 사용자에 의해 선택되어지며 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00106
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00107
)은 교류인 것이 바람직하다.First, the first variable voltage means (
Figure 112008011366492-PAT00100
) And second variable voltage means (
Figure 112008011366492-PAT00101
Are independent voltage sources and are set to have different magnitudes and phases. In addition, the resistance (
Figure 112008011366492-PAT00102
) Is determined by the user's choice. Thus the first variable voltage means (
Figure 112008011366492-PAT00103
Value, the second variable voltage means (
Figure 112008011366492-PAT00104
), And resistance (
Figure 112008011366492-PAT00105
) Value is selected by the user and the first variable voltage means (
Figure 112008011366492-PAT00106
) And second variable voltage means (
Figure 112008011366492-PAT00107
Is preferably alternating current.

여기서, 본 발명은 전술한 듀얼 소스 브릿지의 원리를 적용하여 상기 수학식 4가 본 발명에도 성립하며 그것은 수학식 3와 같다.Herein, the present invention applies the above-described dual source bridge principle, and the above Equation 4 holds for the present invention, which is the same as Equation 3.

상기 수학식 3에서

Figure 112008011366492-PAT00108
은 제 1 가변전압수단의 전압 값,
Figure 112008011366492-PAT00109
는 제 2 가변전압수단의 전압 값,
Figure 112008011366492-PAT00110
는 복소수,
Figure 112008011366492-PAT00111
는 각 주파수 상수, C 및 D는 각기 측정하고자 하는 커패시터의 정전용량 및 손실계수 값이며,
Figure 112008011366492-PAT00112
을 만족한다.In Equation 3
Figure 112008011366492-PAT00108
Is the voltage value of the first variable voltage means,
Figure 112008011366492-PAT00109
Is the voltage value of the second variable voltage means,
Figure 112008011366492-PAT00110
Is a complex number,
Figure 112008011366492-PAT00111
Are the frequency constants, C and D are the capacitance and loss factor values of the capacitor to be measured, respectively.
Figure 112008011366492-PAT00112
To satisfy.

상기 수학식 3이 성립하는 원리는 전술한 듀얼 소스 브릿지와 동일하다. 상기 탐지수단(30)의 검류계가 "0"을 지시하여 도 3의 회로가 평형상태가 되면 상기 탐지수단(30) 측에는 전류가 흐르지 않는다. 그러므로 상기 저항(

Figure 112008011366492-PAT00113
) 및 커패시터(
Figure 112008011366492-PAT00114
)는 직렬연결이 되며 상기 저항(
Figure 112008011366492-PAT00115
) 및 커패시터(
Figure 112008011366492-PAT00116
)에는 동일한 전류가 흐른다.Equation 3 holds the same principle as the dual source bridge described above. When the galvanometer of the detection means 30 indicates "0" and the circuit of FIG. 3 is in equilibrium, no current flows to the detection means 30 side. Therefore, the resistance (
Figure 112008011366492-PAT00113
) And capacitors (
Figure 112008011366492-PAT00114
) Is connected in series and the resistor (
Figure 112008011366492-PAT00115
) And capacitors (
Figure 112008011366492-PAT00116
) The same current flows through.

따라서 옴의 법칙에 의해 계산되는 상기 저항(

Figure 112008011366492-PAT00117
)에 흐르는 전류는
Figure 112008011366492-PAT00118
이 되고, 상기 커패시터(
Figure 112008011366492-PAT00119
)에 흐르는 전류는
Figure 112008011366492-PAT00120
이 된다.Therefore, the above resistance calculated by Ohm's law (
Figure 112008011366492-PAT00117
Current flowing in the
Figure 112008011366492-PAT00118
Becomes the capacitor (
Figure 112008011366492-PAT00119
Current flowing in the
Figure 112008011366492-PAT00120
Becomes

여기서, 상기 커패시터(

Figure 112008011366492-PAT00121
)는 복소수를 포함한 형식인
Figure 112008011366492-PAT00122
로 표시한다.Here, the capacitor (
Figure 112008011366492-PAT00121
) Is a form containing complex numbers
Figure 112008011366492-PAT00122
To be displayed.

한편, 본 발명에서는 저항(

Figure 112008011366492-PAT00123
)을 기준으로 커패시터(
Figure 112008011366492-PAT00124
)를 측정하므로 커패시터(
Figure 112008011366492-PAT00125
)의 값을
Figure 112008011366492-PAT00126
로 하지 않고
Figure 112008011366492-PAT00127
로 한다. 여기서
Figure 112008011366492-PAT00128
는
Figure 112008011366492-PAT00129
이므로
Figure 112008011366492-PAT00130
로 한다. 그 이유는 통상의 당업자라면 별 어려움 없이 이해할 수 있는 내용이다.On the other hand, in the present invention, the resistance (
Figure 112008011366492-PAT00123
Relative to the capacitor (
Figure 112008011366492-PAT00124
), So the capacitor (
Figure 112008011366492-PAT00125
Value of
Figure 112008011366492-PAT00126
Without
Figure 112008011366492-PAT00127
Shall be. here
Figure 112008011366492-PAT00128
Is
Figure 112008011366492-PAT00129
Because of
Figure 112008011366492-PAT00130
Shall be. The reason is that it can be understood by those skilled in the art without much difficulty.

여기서, 상기

Figure 112008011366492-PAT00131
는 각 주파수 (Angular frequency) 상수이며 그 값은 인가하 는 교류 전압에 따라 정해진다.Where
Figure 112008011366492-PAT00131
Is an angular frequency constant and its value depends on the applied alternating voltage.

한편, 상기 저항(

Figure 112008011366492-PAT00132
)에 흐르는 전류 및 상기 커패시터(
Figure 112008011366492-PAT00133
)에 흐르는 전류는 같은 값이므로 상기 수학식 3이 성립하며 상기 수학식 3에 의해 커패시터(
Figure 112008011366492-PAT00134
)의 복소 전기용량을 측정한다.On the other hand, the resistance (
Figure 112008011366492-PAT00132
Current and the capacitor (
Figure 112008011366492-PAT00133
Since the current flowing in the same value is the same, Equation 3 holds, and the capacitor (
Figure 112008011366492-PAT00134
Measure the complex capacitance of.

도 1은 종래의 전기용량 측정 장치를 나타낸 회로도이며, 1 is a circuit diagram showing a conventional capacitance measuring device,

도 2는 본 발명에 이용되는 휘이트스톤 브릿지 원리를 설명하기 위한 회로도이며, 2 is a circuit diagram for explaining the principle of the Wheatstone bridge used in the present invention,

도 3은 본 발명에 이용되는 듀얼 소스 브릿지 원리를 설명하기 위한 회로도이며, 3 is a circuit diagram illustrating a dual source bridge principle used in the present invention.

도 4는 본 발명에 따른 전기용량 측정 장치의 회로도이다.4 is a circuit diagram of a capacitive measuring device according to the present invention.

*도면의 주요 부호에 대한 설명** Description of Major Symbols in Drawings *

1: 가변전압원 10: 휘이스톤 브릿지 검류계 20: 듀얼 소스 브릿지 검류계 30: 탐지수단 35: 탐지부

Figure 112008011366492-PAT00167
: 전압원
Figure 112008011366492-PAT00168
: 제 1 전압원
Figure 112008011366492-PAT00169
: 제 2 전압원
Figure 112008011366492-PAT00170
: 제 1 가변전압원
Figure 112008011366492-PAT00171
: 제 2 가변전압원
Figure 112008011366492-PAT00172
: 저항
Figure 112008011366492-PAT00173
: 제 1 고정저항
Figure 112008011366492-PAT00174
: 제 2 고정저항
Figure 112008011366492-PAT00175
: 가변저항
Figure 112008011366492-PAT00176
: 측정용 저항
Figure 112008011366492-PAT00177
: 제 1 저항
Figure 112008011366492-PAT00178
: 제 2 저항
Figure 112008011366492-PAT00179
: 제 1 전류
Figure 112008011366492-PAT00180
: 제 2 전류
Figure 112008011366492-PAT00181
: 제 3 전류
Figure 112008011366492-PAT00182
: 제 4 전류
Figure 112008011366492-PAT00183
: 제 5 전류
Figure 112008011366492-PAT00184
: 제 1 커패시터
Figure 112008011366492-PAT00185
: 제 2 커패시터
Figure 112008011366492-PAT00186
: 측정용 커패시터 a: 제 1 노드 b: 제 2 노드 c: 제 3 노드 d: 제 4 노드DESCRIPTION OF SYMBOLS 1 Variable voltage source 10 Wystone bridge galvanometer 20 Dual source bridge galvanometer 30 Detection means 35 Detection part
Figure 112008011366492-PAT00167
: Voltage source
Figure 112008011366492-PAT00168
: First voltage source
Figure 112008011366492-PAT00169
: Second voltage source
Figure 112008011366492-PAT00170
: First variable voltage source
Figure 112008011366492-PAT00171
: Second variable voltage source
Figure 112008011366492-PAT00172
: resistance
Figure 112008011366492-PAT00173
: First fixed resistor
Figure 112008011366492-PAT00174
: Second fixed resistor
Figure 112008011366492-PAT00175
: Variable resistor
Figure 112008011366492-PAT00176
: Resistance for measurement
Figure 112008011366492-PAT00177
First resistance
Figure 112008011366492-PAT00178
: Second resistance
Figure 112008011366492-PAT00179
: First current
Figure 112008011366492-PAT00180
: Second current
Figure 112008011366492-PAT00181
: Third current
Figure 112008011366492-PAT00182
Fourth current
Figure 112008011366492-PAT00183
: Fifth current
Figure 112008011366492-PAT00184
: First capacitor
Figure 112008011366492-PAT00185
: Second capacitor
Figure 112008011366492-PAT00186
: Measurement capacitor a: first node b: second node c: third node d: fourth node

Claims (9)

브릿지 법에 의한 복소 전기용량 측정 장치에 있어서,In the complex capacitance measuring device by the bridge method, 소정의 전압이 인가되는 제 1 가변전압수단(
Figure 112008011366492-PAT00135
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00136
), 저항(
Figure 112008011366492-PAT00137
), 및 전기용량이 측정되는 커패시터(
Figure 112008011366492-PAT00138
)의 순으로 직렬 연결되어 폐루프를 형성하며 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00139
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00140
)의 사이와 상기 저항(
Figure 112008011366492-PAT00141
) 및 커패시터(
Figure 112008011366492-PAT00142
) 사이에 병렬 연결되어 탐지부(35)의 전류 흐름여부를 탐지하는 탐지수단(30)을 포함하여 구성되는 것을 특징으로 하는 복소 전기용량 측정 장치. A first variable voltage means to which a predetermined voltage is applied (
Figure 112008011366492-PAT00135
) And second variable voltage means (
Figure 112008011366492-PAT00136
), resistance(
Figure 112008011366492-PAT00137
), And the capacitor on which the capacitance is measured (
Figure 112008011366492-PAT00138
Are connected in series to form a closed loop and the first variable voltage means (
Figure 112008011366492-PAT00139
) And second variable voltage means (
Figure 112008011366492-PAT00140
Between and the resistance (
Figure 112008011366492-PAT00141
) And capacitors (
Figure 112008011366492-PAT00142
) Is connected in parallel to the complex capacitive measuring device, characterized in that it comprises a detection means (30) for detecting whether the current flow of the detector (35). 제 1 항에 있어서,The method of claim 1, 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00143
), 제 2 가변전압수단(
Figure 112008011366492-PAT00144
), 및 저항(
Figure 112008011366492-PAT00145
)의 값은 사용자의 선택에 따라 정해지는 것을 특징으로 하는 복소 전기용량 측정 장치. The first variable voltage means (
Figure 112008011366492-PAT00143
), The second variable voltage means (
Figure 112008011366492-PAT00144
), And resistance (
Figure 112008011366492-PAT00145
Value is determined according to a user's selection. 제 2 항에 있어서,The method of claim 2, 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00146
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00147
)이 공급하는 전압은 크기 및 위상이 조절되며 교류인 것을 특징으로 하는 복소 전기용량 측정 장치.The first variable voltage means (
Figure 112008011366492-PAT00146
) And second variable voltage means (
Figure 112008011366492-PAT00147
A complex capacitive measuring device, characterized in that the voltage supplied by the) is alternating in magnitude and phase. 제 3 항에 있어서,The method of claim 3, wherein 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00148
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00149
)의 크기는 차이가 있는 것을 특징으로 하는 복소 전기용량 측정 장치.The first variable voltage means (
Figure 112008011366492-PAT00148
) And second variable voltage means (
Figure 112008011366492-PAT00149
) Is a complex capacitance measurement device, characterized in that the difference. 제 4 항에 있어서,The method of claim 4, wherein 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00150
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00151
)의 위상은 차이가 있는 것을 특징으로 하는 복소 전기용량 측정 장치.The first variable voltage means (
Figure 112008011366492-PAT00150
) And second variable voltage means (
Figure 112008011366492-PAT00151
Complex capacitive measuring device characterized in that there is a difference. 제 5 항에 있어서,The method of claim 5, wherein 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00152
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00153
)은 독립 전원인 것을 특징으로 하는 복소 전기용량 측정 장치. The first variable voltage means (
Figure 112008011366492-PAT00152
) And second variable voltage means (
Figure 112008011366492-PAT00153
) Is a complex capacitive measuring device, characterized in that the independent power source. 제 1 항에 있어서,The method of claim 1, 상기 탐지수단(30)은 검류계인 것을 특징으로 하는 복소 전기용량 측정 장치.The detection means (30) is a complex capacitance measuring device, characterized in that the galvanometer. 제 7항에 있어서,The method of claim 7, wherein 상기 검류계는 탐지부(35)의 전류 흐름여부를 측정하는 것을 특징으로 하는 복소 전기용량 측정 장치. The galvanometer is a complex capacitance measuring device, characterized in that for measuring the current flow of the detector (35). 제 1 항 내지 제 8 항 중 어느 한 항에 있어서,The method according to any one of claims 1 to 8, 상기 저항(
Figure 112008011366492-PAT00154
)의 저항 값을 선택하고 상기 제 1 가변전압수단(
Figure 112008011366492-PAT00155
) 및 제 2 가변전압수단(
Figure 112008011366492-PAT00156
)을 조절하여 상기 검류계에 의해 전류가 흐르지 않음으로 측정되면 하기의 식에 의해 커패시터(
Figure 112008011366492-PAT00157
)의 복소 전기용량 값을 측정하는 것을 특징으로 하는 복소 전기용량 측정 장치.The resistance (
Figure 112008011366492-PAT00154
Select the resistance value of the first variable voltage means (
Figure 112008011366492-PAT00155
) And second variable voltage means (
Figure 112008011366492-PAT00156
) By measuring the current does not flow by the galvanometer by adjusting the capacitor (
Figure 112008011366492-PAT00157
And a complex capacitance measuring device.
Figure 112008011366492-PAT00158
Figure 112008011366492-PAT00158
 (
Figure 112008011366492-PAT00159
은 제 1 가변전압수단의 전압 값,
Figure 112008011366492-PAT00160
는 제 2 가변전압수단의 전압 값,
Figure 112008011366492-PAT00161
는 복소수,
Figure 112008011366492-PAT00162
는 각 주파수,
Figure 112008011366492-PAT00163
는 측정하고자 하는 커패시터(
Figure 112008011366492-PAT00164
) 값이며,
Figure 112008011366492-PAT00165
및
Figure 112008011366492-PAT00166
는 각기 측정하고자 하는 커패시터의 정전용량 및 손실계수 값이다)(
Figure 112008011366492-PAT00159
Is the voltage value of the first variable voltage means,
Figure 112008011366492-PAT00160
Is the voltage value of the second variable voltage means,
Figure 112008011366492-PAT00161
Is a complex number,
Figure 112008011366492-PAT00162
Is each frequency,
Figure 112008011366492-PAT00163
Is the capacitor (
Figure 112008011366492-PAT00164
) Value,
Figure 112008011366492-PAT00165
And
Figure 112008011366492-PAT00166
Are the capacitance and loss factor values of each capacitor to be measured)
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JP4514580B2 (en) * 2004-10-29 2010-07-28 中国電力株式会社 Display device for capacity measurement

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* Cited by examiner, † Cited by third party
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