TW202307445A - Capacitance measuring system, measuring circuit and calculation device - Google Patents

Capacitance measuring system, measuring circuit and calculation device Download PDF

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TW202307445A
TW202307445A TW110129715A TW110129715A TW202307445A TW 202307445 A TW202307445 A TW 202307445A TW 110129715 A TW110129715 A TW 110129715A TW 110129715 A TW110129715 A TW 110129715A TW 202307445 A TW202307445 A TW 202307445A
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switch
circuit
capacitance
electrically connected
output signal
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TW110129715A
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TWI778745B (en
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蔡秉諺
李昀峰
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京元電子股份有限公司
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Abstract

A capacitance measuring system, which includes: an alternating power, a measuring circuit and a calculation device. The measuring circuit includes a circuit input electrically connected to the alternating power, a circuit output electrically connected to the calculation device, an operational amplifier, and a switch device electrically connected to a capacitor under test. Wherein when the switch device is turned off, the measuring circuit outputs at least a output signal, and when the switch device is turned on, the measuring circuit outputs an another output signal, and the calculation device calculates a first gain and a second gain according to the output signals, and calculates a capacitance of the capacitor under test according to the first gain and the second gain.

Description

電容量測系統、量測電路及計算裝置Capacitance measurement system, measurement circuit and calculation device

本發明關於一種量測系統、量測電路及計算裝置,特別是一種可量測電容值的電容量測系統、量測電路及計算裝置。The present invention relates to a measurement system, a measurement circuit and a calculation device, in particular to a capacitance measurement system, a measurement circuit and a calculation device capable of measuring capacitance values.

在進行一些產品的電性測試(例如晶圓的測試)之前,可能需要針對將使用的電容進行量測,以免影響到電性測試。目前量測電容的方式是,由電源供應器提供電流而對待測電容進行充放電,並根據充放電的時間來推測待測電容的電容值。然而此量測方式不僅需耗費較長的量測時間,且在電容充放電的過程中,由於量測環境(例如量測機台或量測儀器等)通常會產生寄生電容,因此容易造成量測誤差。若要消除寄生電容,則必須先計算出寄生電容的電容值,但寄生電容的電容值必須藉由調整大量的量測參數才有辦法計算,如此又會增加時間成本,且亦有可能量測錯誤。Before the electrical test of some products (such as wafer test), it may be necessary to measure the capacitance to be used so as not to affect the electrical test. The current way of measuring capacitance is to charge and discharge the capacitance to be measured by supplying current from a power supply, and estimate the capacitance value of the capacitance to be measured according to the charging and discharging time. However, this measurement method not only takes a long time to measure, but also in the process of charging and discharging the capacitor, since the measurement environment (such as a measuring machine or measuring instrument, etc.) usually produces parasitic capacitance, it is easy to cause the measurement error. If you want to eliminate the parasitic capacitance, you must first calculate the capacitance value of the parasitic capacitance, but the capacitance value of the parasitic capacitance must be calculated by adjusting a large number of measurement parameters, which will increase the time cost and may also be measured mistake.

此外,現有技術能夠準確量測的電容值等級有其限制,例如目前的量測機台僅能支援量測納法(nanofarad,nF)等級以上的電容值(例如電容值為大於或等於1nF),若直接量測皮法(picofarad,pF)等級的電容值(例如電容值小於1.0nF),將產生極大誤差,因此不符合需求。In addition, the current technology can accurately measure the level of capacitance value has its limitations. For example, the current measuring machine can only support the measurement of capacitance values above the nanofarad (nF) level (for example, the capacitance value is greater than or equal to 1nF). If the capacitance value of the picofarad (pF) level is directly measured (for example, the capacitance value is less than 1.0nF), a huge error will be generated, so it does not meet the requirement.

有鑑於此,本發明提供一種電容量測系統、量測電路及計算裝置,來解決上述的問題。In view of this, the present invention provides a capacitance measuring system, a measuring circuit and a computing device to solve the above problems.

本發明的一目的是提供一種電容量測系統,包含:交流電源、量測電路以及計算裝置。量測電路包含與交流電源電性連接的電路輸入端、與計算裝置電性連接的電路輸出端、運算放大器及一切換器,其中切換器與待測電容電性連接。其中,於切換器斷開時,量測電路輸出至少一輸出訊號,且於切換器導通時,量測電路輸出另一輸出訊號,且計算裝置根據該等輸出訊號計算出運算放大器的第一放大增益及第二放大增益,並根據第一放大增益及第二放大增益計算出待測電容的電容值。An object of the present invention is to provide a capacitance measurement system, including: an AC power supply, a measurement circuit, and a computing device. The measurement circuit includes a circuit input terminal electrically connected to the AC power supply, a circuit output terminal electrically connected to the computing device, an operational amplifier and a switcher, wherein the switcher is electrically connected to the capacitance to be measured. Wherein, the measurement circuit outputs at least one output signal when the switch is turned off, and another output signal is output by the measurement circuit when the switch is turned on, and the calculation device calculates the first amplification of the operational amplifier according to the output signals. gain and the second amplification gain, and calculate the capacitance value of the capacitor to be measured according to the first amplification gain and the second amplification gain.

本發明的另一目的是提供一量測電路,設置於前述電容量測系統中,並包含與電容量測系統的交流電源電性連接的一電路輸入端、與電容量測系統的計算裝置電性連接的一電路輸出端、一運算放大器及與運算放大器電性連接的至少一切換器,其中交流電源透過電路輸入端與運算放大器電性連接,且至少一切換器與待測電容電性連接。Another object of the present invention is to provide a measurement circuit, which is set in the aforementioned capacitance measurement system, and includes a circuit input terminal electrically connected to the AC power supply of the capacitance measurement system, and electrically connected to the computing device of the capacitance measurement system. A circuit output end, an operational amplifier, and at least one switcher electrically connected to the operational amplifier, wherein the AC power supply is electrically connected to the operational amplifier through the circuit input end, and at least one switcher is electrically connected to the capacitor under test .

本發明的又另一目的是提供一種計算裝置,設置於前述電容量測系統中,用於與電容量測系統的量測電路的電路輸出端電性連接。Yet another object of the present invention is to provide a computing device, which is installed in the aforementioned capacitance measuring system, and is used for electrically connecting with the circuit output end of the measuring circuit of the capacitance measuring system.

以下將透過多個實施例說明本發明的電容量測系統、量測電路及計算裝置的實施態樣及運作原理。本發明所屬技術領域中具有通常知識者,透過上述實施例可理解本發明的特徵及功效,而可基於本發明的精神,進行組合、修飾、置換或轉用。The implementation and operation principles of the capacitance measurement system, measurement circuit and calculation device of the present invention will be described below through multiple embodiments. Those skilled in the technical field of the present invention can understand the characteristics and effects of the present invention through the above-mentioned embodiments, and can combine, modify, replace or transfer based on the spirit of the present invention.

應注意的是,在本文中,除了特別指明者之外,「一」元件不限於單一的該元件,還可指一或更多的該元件。It should be noted that, herein, unless otherwise specified, “an” element is not limited to a single element, but may also refer to one or more elements.

此外,本揭露中關於“當…”或“…時”等描述表示”當下、之前或之後”等態樣,而不限定為同時發生之情形,在此先行敘明。本揭露中關於“設置於…上”等類似描述係表示兩元件的對應位置關係,並不限定兩元件之間是否有所接觸,除非特別有限定,在此先行敘明。再者,本揭露記載多個功效時,若在功效之間使用“或”一詞,係表示功效可獨立存在,但不排除多個功效可同時存在。In addition, descriptions such as "when..." or "when" in this disclosure represent aspects such as "now, before, or after", and are not limited to situations that occur at the same time, which is described first here. In this disclosure, similar descriptions such as “disposed on” refer to the corresponding positional relationship between the two components, and do not limit whether there is contact between the two components, unless otherwise specified, which will be described here first. Furthermore, when the present disclosure records multiple functions, if the word "or" is used between the functions, it means that the functions can exist independently, but it does not rule out that multiple functions can exist simultaneously.

本文中所使用的序數例如“第一”、 “第二”等之用詞,是用於修飾請求元件,其本身並不意含及代表該請求元件有任何之前的序數,也不代表某一請求元件與另一請求元件的順序、或是製造方法上的順序,該些序數的使用僅用來使具有某命名的一請求元件得以和另一具有相同命名的請求元件能作出清楚區分。The ordinal numbers used in this article, such as "first", "second", etc., are used to modify the request element, which does not imply and represent any previous ordinal number of the request element, nor does it represent a request The order of an element with another claimed element, or the order of the manufacturing method, these ordinal numbers are used only to clearly distinguish a claimed element with a certain designation from another claimed element with the same designation.

此外,說明書及權利要求中例如「連接」或「耦接」一詞不僅指與另一元件直接連接,也可指與另一元件間接連接或電性連接。另外,電性連接包含直接連接、間接連接或二元件間以無線電信號交流的態樣。In addition, words such as "connected" or "coupled" in the description and claims not only refer to direct connection with another element, but also refer to indirect connection or electrical connection with another element. In addition, the electrical connection includes direct connection, indirect connection, or communication between two components by radio signals.

此外,說明書及權利要求中,「約」、「大約」、「實質上」、「大致上」之用語通常表示在一值與一給定值的差距在該給定值的10%內,或5%內,、或3%之內、,或2%之內、,或1%之內、,或0.5%之內的範圍。在此給定的數量為大約的數量,亦即在沒有特定說明「約」、「大約」、「實質上」、「大致上」的情況下,仍可隱含「約」、「大約」、「實質上」、「大致上」之含義。此外,用語「範圍為第一數值至第二數值」、「範圍介於第一數值至第二數值之間」表示所述範圍包含第一數值、第二數值以及它們之間的其它數值。In addition, in the description and claims, the terms "about", "approximately", "essentially" and "approximately" usually mean that the difference between a value and a given value is within 10% of the given value, or Within 5%, or within 3%, or within 2%, or within 1%, or within 0.5%. The quantities given here are approximate quantities, that is, "about", "approximately", "approximately", "approximately", "approximately" and "approximately" may still be implied in the absence of specific instructions "about", "approximately", "substantially", The meaning of "substantially" and "approximately". In addition, the terms "the range is from the first value to the second value" and "the range is between the first value to the second value" indicate that the range includes the first value, the second value and other values therebetween.

此外,各元件可以適合的方式來實現成單一電路或一積體電路,且可包括一或多個主動元件,例如,電晶體或邏輯閘,或一或多個被動元件,例如,電阻、電容、或電感,但不限於此。各元件可以適合的方式來彼此連接,例如,分別配合輸入信號及輸出信號,使用一或多條線路來形成串聯或並聯。此外,各元件可允許輸入信號及輸出信號依序或並列進出。上述組態皆是依照實際應用而定。In addition, each element can be implemented as a single circuit or an integrated circuit in an appropriate manner, and can include one or more active elements, such as transistors or logic gates, or one or more passive elements, such as resistors, capacitors , or inductance, but not limited thereto. The components can be connected to each other in a suitable manner, for example, using one or more lines to form a series connection or a parallel connection according to the input signal and the output signal respectively. In addition, each element can allow input signals and output signals to enter and exit sequentially or in parallel. The above configurations are determined according to the actual application.

此外,本揭露所揭示的不同實施例的技術特徵可結合形成另一實施例。In addition, technical features of different embodiments disclosed in this disclosure can be combined to form another embodiment.

此外,在本文中,「系統」、「設備」、「裝置」、「模組」、或「單元」等用語,是指一電子元件或由多個電子元件所組成的一數位電路、一類比電路、或其他更廣義電路,且除了特別指明者之外,它們不必然有位階或層級關係。In addition, in this article, terms such as "system", "equipment", "device", "module", or "unit" refer to an electronic component or a digital circuit composed of a plurality of electronic components, analogous circuits, or other broader circuits, and unless otherwise specified, they do not necessarily have a hierarchical or hierarchical relationship.

圖1是本發明一實施例的電容量測系統1的基本架構示意圖。如圖1所示,電容量測系統1包含一量測電路10、一計算裝置20及一交流電源30。量測電路10可包含一電路輸入端IN、一電路輸出端OUT、一運算放大器14及複數個切換器11~13(以下稱之為第一切換器11至第三切換器13),且其中一個切換器(例如第三切換器13)與一待測電容40電性連接。電路輸入端IN與交流電源30電性連接。電路輸出端OUT與計算裝置20電性連接。計算裝置20可根據電路輸出端OUT的輸出結果進行計算,並可輸出待測電容40的電容值。FIG. 1 is a schematic diagram of the basic structure of a capacitance measuring system 1 according to an embodiment of the present invention. As shown in FIG. 1 , the capacitance measurement system 1 includes a measurement circuit 10 , a computing device 20 and an AC power source 30 . The measurement circuit 10 may include a circuit input terminal IN, a circuit output terminal OUT, an operational amplifier 14 and a plurality of switches 11-13 (hereinafter referred to as the first switcher 11 to the third switcher 13), and wherein A switch (such as the third switch 13 ) is electrically connected to a capacitor 40 to be measured. The circuit input terminal IN is electrically connected to the AC power source 30 . The circuit output terminal OUT is electrically connected to the computing device 20 . The calculating device 20 can calculate according to the output result of the circuit output terminal OUT, and can output the capacitance value of the capacitor 40 to be tested.

交流電源30可提供一輸入訊號Vin至量測電路10。量測電路10透過切換器11~13之其中至少一者的切換,可於不同時間點輸出不同的輸出訊號Vo至計算裝置20,例如當切換器11~13之其中至少一者(例如圖2的第三切換器13)斷開(turn off)時,量測電路10可輸出至少一輸出訊號Vo至計算裝置20,而計算裝置20可根據該至少一輸出訊號Vo而計算出運算放大器14的一第一放大增益;當切換器11~13之其中至少一者(例如圖2的第三切換器13)導通時(turn on),量測電路10可輸出另一輸出訊號至計算裝置20,而計算裝置20可根據先前取得的該至少一輸出訊號Vo及目前取得的該輸出訊號Vo而計算出運算放大器14的一第二放大增益,進而根據第一放大增益及第二放大增益而計算出待測電容40的電容值。藉此,本發明可量測待測電容40的電容值。The AC power source 30 can provide an input signal Vin to the measurement circuit 10 . The measurement circuit 10 can output different output signals Vo to the computing device 20 at different time points through the switching of at least one of the switches 11-13, for example, when at least one of the switches 11-13 (such as FIG. 2 When the third switcher 13) is turned off (turn off), the measurement circuit 10 can output at least one output signal Vo to the computing device 20, and the computing device 20 can calculate the output signal of the operational amplifier 14 according to the at least one output signal Vo. A first amplification gain; when at least one of the switches 11-13 (for example, the third switch 13 in FIG. 2 ) is turned on (turn on), the measurement circuit 10 can output another output signal to the computing device 20, And the calculation device 20 can calculate a second amplification gain of the operational amplifier 14 according to the at least one output signal Vo obtained previously and the output signal Vo obtained at present, and then calculate according to the first amplification gain and the second amplification gain The capacitance value of the capacitor 40 to be tested. Thereby, the present invention can measure the capacitance value of the capacitor 40 to be measured.

接著說明各元件的細節。Next, details of each element will be described.

首先說明交流電源30的細節。First, details of the AC power supply 30 will be described.

交流電源30可提供輸入訊號Vin至量測電路10的電路輸入端IN。在一實施例中,交流電源30可例如是各種波形產生器(arbitrary waveform generator,AWG),其可提供如正弦波、方波、三角波等波形的訊號,且不限於此;為方便說明,以下皆以交流電源30提供正弦波來舉例。此外,在一實施例中,交流電源30產生的訊號的頻率可被調變,且不限於此。The AC power source 30 can provide the input signal Vin to the circuit input terminal IN of the measurement circuit 10 . In one embodiment, the AC power supply 30 can be, for example, various waveform generators (arbitrary waveform generator, AWG), which can provide signals of waveforms such as sine wave, square wave, triangular wave, etc., and is not limited thereto; for convenience of description, the following All take the AC power supply 30 providing a sine wave as an example. In addition, in one embodiment, the frequency of the signal generated by the AC power source 30 can be modulated, and is not limited thereto.

接著說明計算裝置20的細節。Next, details of the computing device 20 will be described.

在一實施例中,計算裝置20可例如是一處理器,其包含儲存於一非暫態電腦可讀取媒介上的一電腦程式產品或韌體,以進行特定的計算功能。在一實施例中,計算裝置20可設置於一量測機台(圖未顯示)之中,或者可設置於一電腦(圖未顯示)之中,且不限於此。在一實施例中,計算裝置20亦可以是具備計算功能的一積體電路,其可載入特殊的韌體或軟體,以實現計算功能。需注意的是,計算裝置20的態樣並不限於此。In one embodiment, the computing device 20 may be, for example, a processor including a computer program product or firmware stored on a non-transitory computer readable medium for performing specific computing functions. In one embodiment, the computing device 20 can be set in a measuring machine (not shown in the figure), or can be set in a computer (not shown in the figure), but is not limited thereto. In one embodiment, the computing device 20 can also be an integrated circuit with computing functions, which can be loaded with special firmware or software to realize the computing functions. It should be noted that the aspect of the computing device 20 is not limited thereto.

接著說明量測電路10的細節。Next, details of the measurement circuit 10 will be described.

量測電路10可透過例如切換器11~13的切換而輸出不同的輸出訊號Vo至計算裝置20。圖2是本發明第一實施例的量測電路10的細部電路圖,並請同時參考圖1。The measurement circuit 10 can output different output signals Vo to the computing device 20 through switching of the switches 11 - 13 , for example. FIG. 2 is a detailed circuit diagram of the measuring circuit 10 according to the first embodiment of the present invention, and please refer to FIG. 1 at the same time.

如圖2所示,量測電路10可包含電路輸入端IN、電路輸出端OUT、第一切換器11、第二切換器12、第三切換器13、運算放大器14、一整流器15、一第一電阻16及一第二電阻17。第一切換器11可包含一第一端11a及一第二端11b。第二切換器12可包含一第一端12a及一第二端12b。第三切換器13可包含一第一端13a及一第二端13b,其中第三切換器13的第二端13b可與待測電容40電性連接。運算放大器14可包含一第一輸入端14a、一第二輸入端14b及一輸出端14c。As shown in Figure 2, the measurement circuit 10 may include a circuit input terminal IN, a circuit output terminal OUT, a first switcher 11, a second switcher 12, a third switcher 13, an operational amplifier 14, a rectifier 15, a first A resistor 16 and a second resistor 17 . The first switch 11 may include a first end 11a and a second end 11b. The second switch 12 may include a first end 12a and a second end 12b. The third switch 13 may include a first end 13a and a second end 13b, wherein the second end 13b of the third switch 13 may be electrically connected to the capacitor 40 to be measured. The operational amplifier 14 may include a first input terminal 14a, a second input terminal 14b and an output terminal 14c.

第一切換器11可設置於電路輸入端IN與電路輸出端OUT之間,例如第一切換器11的第一端11a可電性連接至電路輸入端IN,而第一切換器11的第二端11b可電性連接至整流器15的陽極端,並透過整流器15而與電路輸出端OUT電性連接。The first switch 11 can be arranged between the circuit input terminal IN and the circuit output terminal OUT, for example, the first terminal 11a of the first switch 11 can be electrically connected to the circuit input terminal IN, and the second terminal 11a of the first switch 11 can be electrically connected to the circuit input terminal IN. The terminal 11 b can be electrically connected to the anode terminal of the rectifier 15 and electrically connected to the circuit output terminal OUT through the rectifier 15 .

運算放大器14及第二切換器12可設置於電路輸入端IN及電路輸出端OUT之間,例如運算放大器14的第一輸入端14a可與電路輸入端IN電性連接,運算放大器14的輸出端14c可與第二切換器12的第一端12a電性連接,第二切換器12的第二端12b可電性連接至整流器15的陽極端,並透過整流器15與電路輸出端OUT電性連接。此外,運算放大器14的輸出端14c亦可與第一電阻16電性連接,例如輸出端14c、第二切換器12的第一端12a及第一電阻16可電性連接於量測電路10的一節點A。另外,運算放大器14的第二輸入端14b、第一電阻16、第二電阻17及第三切換器13可電性連接於量測電路10的一節點B。The operational amplifier 14 and the second switcher 12 can be arranged between the circuit input terminal IN and the circuit output terminal OUT, for example, the first input terminal 14a of the operational amplifier 14 can be electrically connected with the circuit input terminal IN, and the output terminal of the operational amplifier 14 14c can be electrically connected to the first terminal 12a of the second switch 12, the second terminal 12b of the second switch 12 can be electrically connected to the anode terminal of the rectifier 15, and is electrically connected to the circuit output terminal OUT through the rectifier 15 . In addition, the output terminal 14c of the operational amplifier 14 can also be electrically connected to the first resistor 16, for example, the output terminal 14c, the first terminal 12a of the second switch 12, and the first resistor 16 can be electrically connected to the measuring circuit 10. A node A. In addition, the second input terminal 14 b of the operational amplifier 14 , the first resistor 16 , the second resistor 17 and the third switch 13 can be electrically connected to a node B of the measurement circuit 10 .

第三切換器13的第一端13a可與運算放大器14的第二輸入端14b、第一電阻16及第二電阻17電性連接於節點B,而第三切換器13的第二端13b可與待測電容40電性連接。The first terminal 13a of the third switch 13 can be electrically connected to the second input terminal 14b of the operational amplifier 14, the first resistor 16 and the second resistor 17 at node B, and the second terminal 13b of the third switch 13 can be It is electrically connected with the capacitor 40 to be tested.

在一實施例中,交流電源30可經由電路輸入端IN而分別與第一切換器11的第一端11a及運算放大器14的第一輸入端14a電性連接,因此,交流電源30提供的輸入訊號Vin可進入第一切換器11所在的訊號路徑或運算放大器14所在的訊號路徑。In one embodiment, the AC power supply 30 can be electrically connected to the first terminal 11a of the first switch 11 and the first input terminal 14a of the operational amplifier 14 respectively through the circuit input terminal IN. Therefore, the input terminal 14a provided by the AC power supply 30 The signal Vin can enter the signal path of the first switch 11 or the signal path of the operational amplifier 14 .

在一實施例中,第一切換器11、第二切換器12、第三切換器13可例如是繼電器(Relay)、開關(switch)或多工器(multiplexer),且不限於此。在一實施例中,前述切換器11、12、13可例如是機械式切換器或電子式切換器,且不限於此。在一實施例中,前述切換器11、12、13可包含電晶體,或者本身即為電晶體,但不限於此。在一實施例中,第一切換器11、第二切換器12或第三切換器13可受外部控制元件(例如但不限於時序控制器或其它機械式控制器,圖未顯示)控制,並呈現導通或斷開之狀態,且不限於此。In an embodiment, the first switch 11 , the second switch 12 , and the third switch 13 may be, for example, relays, switches or multiplexers, and are not limited thereto. In an embodiment, the aforementioned switches 11 , 12 , 13 may be, for example, mechanical switches or electronic switches, and are not limited thereto. In an embodiment, the aforementioned switches 11 , 12 , 13 may include transistors, or may be transistors themselves, but not limited thereto. In one embodiment, the first switch 11, the second switch 12 or the third switch 13 can be controlled by an external control element (such as but not limited to a timing controller or other mechanical controller, not shown in the figure), and The state of being on or off is shown, but not limited thereto.

在一實施例中,運算放大器14可例如是一非反向放大器,其中第一輸入端14a可為正輸入端,第二輸入端14b可為負輸入端,且不限於此。In one embodiment, the operational amplifier 14 may be, for example, a non-inverting amplifier, wherein the first input terminal 14a may be a positive input terminal, and the second input terminal 14b may be a negative input terminal, but not limited thereto.

在一實施例中,整流器15可例如是二極體,或者是包含二極體的積體電路,其中二極體的陽極端可分別與第一切換器11及第二切換器12電性連接,而二極體的陰極端可電性連接至電路輸出端OUT,且不限於此。In one embodiment, the rectifier 15 can be, for example, a diode, or an integrated circuit including a diode, wherein the anode terminals of the diode can be electrically connected to the first switch 11 and the second switch 12 respectively. , and the cathode terminal of the diode can be electrically connected to the circuit output terminal OUT, and is not limited thereto.

接著說明量測電路10及計算裝置20的運作方式。Next, the operation of the measurement circuit 10 and the computing device 20 will be described.

在一實施例中,第一切換器11、第二切換器12及第三切換器13可於不同時間點導通,因此輸入訊號Vin可於不同時間點通過不同的訊號路徑,而電路輸出端OUT可於不同時間點輸出不同的輸出訊號Vo。在一實施例中,第一切換器11的導通期間與其它切換器12、13的導通期間不重疊。在一實施例中,第二切換器12的導通期間可與第三切換器13的導通期間可部分重疊。In one embodiment, the first switch 11, the second switch 12 and the third switch 13 can be turned on at different time points, so the input signal Vin can pass through different signal paths at different time points, and the circuit output terminal OUT Different output signals Vo can be output at different time points. In an embodiment, the conduction period of the first switch 11 does not overlap with the conduction periods of the other switches 12 and 13 . In an embodiment, the conduction period of the second switch 12 may partially overlap with the conduction period of the third switch 13 .

更詳細地,在一實施例中,於一第一期間,第一切換器11可導通,而第二切換器12及第三切換器13可斷開。此時第一切換器11所在的訊號路徑為導通狀態,而第二切換器12及第三切換器13所在的訊號路徑為不導通狀態,因此交流電源30提供的輸入訊號Vin可通過第一切換器11,並經由整流器15進行整流後形成一第一輸出訊號,之後第一輸出訊號於電路輸出端OUT被輸出至計算裝置20。由於所述的訊號路徑上並沒有運算放大器,故第一輸出訊號可相同或近似於經整流後的輸入訊號Vin,因此第一輸出訊號可視為輸入訊號Vin經整流後的直流訊號。In more detail, in one embodiment, during a first period, the first switch 11 can be turned on, and the second switch 12 and the third switch 13 can be turned off. At this time, the signal path where the first switcher 11 is located is in a conductive state, while the signal paths where the second switcher 12 and the third switcher 13 are located are in a non-conductive state, so the input signal Vin provided by the AC power supply 30 can pass through the first switcher. The device 11 is rectified by the rectifier 15 to form a first output signal, and then the first output signal is output to the computing device 20 at the circuit output terminal OUT. Since there is no operational amplifier in the signal path, the first output signal can be the same as or similar to the rectified input signal Vin, so the first output signal can be regarded as a DC signal after the rectified input signal Vin.

在一實施例中,於一第二期間,第二切換器12可導通,而第一切換器11及第三切換器13可斷開。此時第二切換器12所在的訊號路徑為導通狀態,而第一切換器11及第三切換器13所在的路徑則為不導通狀態,因此輸入訊號Vin可通過運算放大器14(訊號因此被放大)、第二切換器12及整流器15,並經由整流器15整流後形成一第二輸出訊號,之後第二輸出訊號於電路輸出端OUT被輸出至計算裝置20。由於所述的訊號路徑上具有運算放大器14,因此第二輸出訊號可視為輸入訊號Vin被放大且經整流後的直流訊號。In one embodiment, during a second period, the second switch 12 can be turned on, and the first switch 11 and the third switch 13 can be turned off. At this time, the signal path where the second switcher 12 is located is in a conductive state, while the paths where the first switcher 11 and the third switcher 13 are located are in a non-conductive state, so the input signal Vin can pass through the operational amplifier 14 (the signal is thus amplified ), the second switcher 12 and the rectifier 15, and rectified by the rectifier 15 to form a second output signal, and then the second output signal is output to the computing device 20 at the circuit output terminal OUT. Since the operational amplifier 14 is provided on the signal path, the second output signal can be regarded as an amplified and rectified DC signal of the input signal Vin.

此時,計算裝置20可透過先前取得的第一輸出訊號及目前取得的第二輸出訊號而計算出運算放大器14目前的增益(亦即第一放大增益),其中,第一放大增益可表示為算式(1): Av1=Vo2/Vo1;......算式(1) 其中Av1定義為第一放大增益,Vo1定義為第一輸出訊號的電位,Vo2定義為第二輸出訊號的電位。 At this time, the calculation device 20 can calculate the current gain of the operational amplifier 14 (that is, the first amplification gain) through the previously obtained first output signal and the currently obtained second output signal, wherein the first amplification gain can be expressed as Formula (1): Av1=Vo2/Vo1;...Equation (1) Av1 is defined as the first amplification gain, Vo1 is defined as the potential of the first output signal, and Vo2 is defined as the potential of the second output signal.

此外,根據運算放大器14、第一電阻16及第二電阻17的配置,可知第一放大增益(Av1)亦可表示為算式(2): Av1=1+(R1/R2);......算式(2) 其中R1定義為第一電阻16的電阻值,R2定義為第二電阻17的電阻值。須注意的是R1、R2為預設值,亦即第一電阻16及第二電阻17的電阻值為預設值(亦即為已知參數)。 In addition, according to the configuration of the operational amplifier 14, the first resistor 16 and the second resistor 17, it can be seen that the first amplification gain (Av1) can also be expressed as formula (2): Av1=1+(R1/R2);...Equation (2) R1 is defined as the resistance value of the first resistor 16 , and R2 is defined as the resistance value of the second resistor 17 . It should be noted that R1 and R2 are preset values, that is, the resistance values of the first resistor 16 and the second resistor 17 are preset values (ie known parameters).

在一實施例中,於一第三期間,第二切換器12及第三切換器13可導通,而第一切換器11可斷開。此時第二切換器12及第三切換器13所在的訊號路徑為導通狀態,而第一切換器11所在的訊號路徑為不導通狀態,因此輸入訊號Vin會通過運算放大器14(訊號因此被放大)、第二切換器12及整流器15,並經由整流器15整流後形成一第三輸出訊號,之後第三輸出訊號於電路輸出端OUT被輸出至計算裝置20。由於所述的訊號路徑上具有運算放大器14,因此第三輸出訊號可視為輸入訊號Vin被放大且經整流後的直流訊號,並且由於第三切換器13導通,運算放大器14的放大增益將會受到待測電容40的電抗值Xc的影響,因此第三輸出訊號與第二輸出訊號的電位不相同。In one embodiment, during a third period, the second switch 12 and the third switch 13 can be turned on, and the first switch 11 can be turned off. At this time, the signal paths where the second switcher 12 and the third switcher 13 are located are in a conductive state, while the signal path where the first switcher 11 is located is in a non-conductive state, so the input signal Vin will pass through the operational amplifier 14 (the signal is thus amplified ), the second switcher 12 and the rectifier 15, and a third output signal is formed after being rectified by the rectifier 15, and then the third output signal is output to the computing device 20 at the circuit output terminal OUT. Since there is an operational amplifier 14 on the signal path, the third output signal can be regarded as the amplified and rectified DC signal of the input signal Vin, and since the third switch 13 is turned on, the amplification gain of the operational amplifier 14 will be affected. Influenced by the reactance value Xc of the capacitor 40 to be tested, the potentials of the third output signal and the second output signal are different.

此時計算裝置20可藉由先前取得的第一輸出訊號及目前取得的第三輸出訊號計算出目前運算放大器14的增益(亦即第二放大增益),其中,第二放大增益可表示為算式(3): Av2=Vo3/Vo1;......算式(3) 其中Av2定義為第二放大增益,Vo3定義為第三輸出訊號的電位。 At this time, the calculation device 20 can calculate the current gain of the operational amplifier 14 (that is, the second amplification gain) according to the previously obtained first output signal and the currently obtained third output signal, wherein the second amplification gain can be expressed as a formula (3): Av2=Vo3/Vo1;...Equation (3) Av2 is defined as the second amplification gain, and Vo3 is defined as the potential of the third output signal.

此外,根據運算放大器14與第一電阻16、第二電阻17及待測電容40的配置,亦可知第二放大增益亦可表示為算式(4): Av2=1+[R1/(R2//Xc)] =1+[R1/(R2*Xc)/(R2+Xc)] =1+[(R1*R2+R1*Xc)/(R2*Xc)] =1+(R1/Xc)+ (R1/R2) =(R1/Xc)+Av1;......算式(4) 其中Xc定義為待測電容40的電抗值,R2//Xc定義為第二電阻17與待測電容40並聯的電阻值。 In addition, according to the configuration of the operational amplifier 14, the first resistor 16, the second resistor 17, and the capacitor to be measured 40, it can also be known that the second amplification gain can also be expressed as formula (4): Av2=1+[R1/(R2//Xc)] =1+[R1/(R2*Xc)/(R2+Xc)] =1+[(R1*R2+R1*Xc)/(R2*Xc)] =1+(R1/Xc)+ (R1/R2) =(R1/Xc)+Av1;......Equation (4) Wherein Xc is defined as the reactance value of the capacitor 40 to be tested, and R2//Xc is defined as the resistance value of the second resistor 17 connected in parallel with the capacitor 40 to be tested.

此外,在一實施例中,當計算模組20透過算式(1)及算式(3)計算出第一放大增益及第二放大增益後,計算模組20可根據第一放大增益、第二放大增益、第一電阻的電阻值及算式(4)計算出待測電容40的電抗值(例如Xc=R1/(Av2-Av1))。又,待測電容40的電抗值亦可表示為算式(5): Xc=1/(2πfC);......算式(5) 其中π為圓周率,f為輸入訊號Vin的頻率(為可調變的數值,且為已知參數),C為電容值。因此,當計算模組20計算出待測電容40的電抗值後,即可根據算式(5)計算出待測電容40的電容值。 In addition, in one embodiment, after the calculation module 20 calculates the first amplification gain and the second amplification gain through formula (1) and formula (3), the calculation module 20 can The gain, the resistance value of the first resistor and the formula (4) calculate the reactance value of the capacitor 40 to be measured (for example, Xc=R1/(Av2−Av1)). Also, the reactance value of the capacitor 40 to be measured can also be expressed as formula (5): Xc=1/(2πfC);......Equation (5) Wherein, π is the circumference ratio, f is the frequency of the input signal Vin (which is an adjustable value and is a known parameter), and C is the capacitance value. Therefore, after the calculation module 20 calculates the reactance value of the capacitor 40 to be tested, the capacitance value of the capacitor 40 to be tested can be calculated according to formula (5).

藉此,待測電容40的電容值即可被計算模組20計算出來。In this way, the capacitance value of the capacitor 40 to be tested can be calculated by the calculation module 20 .

為使說明更加清楚,以下將計算裝置20的運作過程彙整。圖3是本發明一實施例的計算裝置20的運作流程圖,並請同時參考圖1及圖2。To make the description clearer, the operation process of the computing device 20 is summarized below. FIG. 3 is an operation flowchart of the computing device 20 according to an embodiment of the present invention, and please refer to FIG. 1 and FIG. 2 at the same time.

如圖3所示,首先步驟S31被執行,計算裝置20取得量測電路10所輸出的第一輸出訊號。之後步驟S32被執行,計算裝置20取得量測電路10所輸出的第二輸出訊號。之後步驟S33被執行,計算裝置20根據第一輸出訊號及第二輸出訊號計算出運算放大器14的第一放大增益(可參考算式(1)),其中第一放大增益可視為量測電路10未連接待測電容40時,運算放大器14的增益。之後步驟S34被執行,計算裝置20取得量測電路10輸出的第三輸出訊號。之後步驟S35被執行,計算裝置20根據第一輸出訊號及第三輸出訊號計算出運算放大器14的第二放大增益(可參考算式(3)),其中第二放大增益可視為量測電路10連接待測電容40時,運算放大器14的增益。之後步驟S36被執行,計算裝置20根據第一放大增益及第二放大增益計算出待測電容40的電抗值(可參考算式(4))。之後步驟S37被執行,計算裝置20根據待測電容40的電抗值及輸入訊號Vin的頻率計算出待測電容40的電容值(可參考算式(5))。As shown in FIG. 3 , first step S31 is executed, and the computing device 20 obtains the first output signal output by the measurement circuit 10 . Then step S32 is executed, and the computing device 20 obtains the second output signal output by the measurement circuit 10 . Then step S33 is executed, and the calculation device 20 calculates the first amplification gain of the operational amplifier 14 according to the first output signal and the second output signal (refer to formula (1)), wherein the first amplification gain can be regarded as the measurement circuit 10 is not The gain of the operational amplifier 14 when the capacitor 40 to be tested is connected. Then step S34 is executed, and the computing device 20 obtains the third output signal output by the measuring circuit 10 . Then step S35 is executed, and the calculation device 20 calculates the second amplification gain of the operational amplifier 14 according to the first output signal and the third output signal (refer to formula (3)), wherein the second amplification gain can be regarded as the measurement circuit 10 connected The gain of the operational amplifier 14 when the capacitor 40 is to be measured. Then step S36 is executed, and the calculation device 20 calculates the reactance value of the capacitor 40 to be measured according to the first amplification gain and the second amplification gain (refer to formula (4)). Then step S37 is executed, and the calculation device 20 calculates the capacitance value of the capacitor under test 40 according to the reactance value of the capacitor under test 40 and the frequency of the input signal Vin (refer to formula (5)).

藉此,計算裝置20的運作流程已可被理解。In this way, the operation flow of the computing device 20 can be understood.

圖4是本發明一實施例的實驗數據結果的示意圖,其顯示由圖2的電容量測系統1對多個待測電容40進行量測所取得的量測電容值(以下稱之為量測值C2) ,其中此處的待測電容40已知實際電容值(以下稱之為目標值C1),進一步再透過計算裝置20獲得目標值C1與量測值C2的比較結果,目標值C1可例如一實際電容值,或是經過標準實驗室檢測出來的標準值,具有高度的準確性,可做為數值比較或參考的依據。其中C1表示目標值的電容值(單位為皮法拉,pF),C2表示量測值的電容值(單位為皮法拉,pF),Vo1表示第一輸出訊號的電位(單位為伏特,V),Vo2表示第二輸出訊號的電位(單位為伏特,V),Vo3表示第三輸出訊號的電位(單位為伏特,V),Av1表示第一放大增益,Av2表示第二放大增益,Freq表示輸入訊號Vin的頻率(單位為赫茲,Hz),Xc表示待測電容40的電抗值(單位為歐姆,ohm)。FIG. 4 is a schematic diagram of the experimental data results of an embodiment of the present invention, which shows the measured capacitance values obtained by measuring a plurality of capacitors 40 to be measured by the capacitance measurement system 1 of FIG. 2 (hereinafter referred to as measurement value C2), wherein the actual capacitance value (hereinafter referred to as the target value C1) of the capacitor 40 to be measured is known here, and the comparison result between the target value C1 and the measured value C2 is obtained through the computing device 20, and the target value C1 can be For example, an actual capacitance value, or a standard value tested by a standard laboratory, has a high degree of accuracy and can be used as a basis for numerical comparison or reference. Among them, C1 represents the capacitance value of the target value (unit is picofarad, pF), C2 represents the capacitance value of the measured value (unit is picofarad, pF), Vo1 represents the potential of the first output signal (unit is volt, V), Vo2 represents the potential of the second output signal (in volts, V), Vo3 represents the potential of the third output signal (in volts, V), Av1 represents the first amplification gain, Av2 represents the second amplification gain, and Freq represents the input signal The frequency of Vin (the unit is Hertz, Hz), and Xc represents the reactance value of the capacitor 40 to be tested (the unit is ohm, ohm).

接著以圖2的電路架構搭配參數設定,並參考圖4的數據來進一步說明本發明的實際計算方式。其中,圖2中的交流電源30可設定為0.2(V)、第一電阻16可設定為25000(ohm)以及第二電阻17可設定為5000(ohm)。Next, the actual calculation method of the present invention is further described with reference to the data in FIG. 4 by using the circuit structure in FIG. 2 with parameter settings. Wherein, the AC power supply 30 in FIG. 2 can be set to 0.2 (V), the first resistor 16 can be set to 25000 (ohm), and the second resistor 17 can be set to 5000 (ohm).

如圖4所示,當待測電容40的目標值C1為33(pF)時,交流電源30提供輸入訊號Vin的頻率設定為1091000(Hz)。當第一切換器11導通,其餘切換器皆為斷開時,計算裝置20偵測到第一輸出訊號Vo1為0.194(V)。當第二切換器導通,其餘切換器皆為斷開時,計算裝置20偵測到第二輸出訊號Vo2為1.19(V)。當第二切換器12及第三切換器13導通時,第一切換器11斷開時,計算裝置20偵測到第三輸出訊號Vo3為2.292(V)。之後,計算裝置20根據算式(1)計算第一放大增益(亦即Av1=Vo2/Vo1=1.19/0.194=6.134),由上式得知第一放大增益Av1約為6.134,並且計算裝置20根據算式(3)計算第二放大增益(亦即Av2=Vo3/Vo1=2.292/0.194=11.8144),由上式得知第二放大增益Av2約為11.814。之後,計算裝置20再根據算式(4)計算電抗值Xc(亦即Xc=R1/(Av2-Av1)=25000/(11.814-6.134)= 4401.089),由上式得知待測電容40的電抗值Xc為4401.089(ohm)。之後,計算裝置20根據算式(5)計算量測值C2(亦即C2=1/(2πfXc)=1/(2π.1091000.4401.088929=33.163.10 -12),故待測電容40的量測值C2約為33.163(pF)。據此,可計算出待測電容40的目標值C1與量測值C2之間的誤差值(亦即|(C1- C2)|/C1=|(33.10 -12-33.163.10 -12)|/ 33.10 -12=0.00494),由上式得知待測電容40目標值C1與量測值C2的誤差值約為0.494%。 As shown in FIG. 4 , when the target value C1 of the capacitor 40 to be tested is 33 (pF), the frequency at which the AC power supply 30 provides the input signal Vin is set to 1091000 (Hz). When the first switch 11 is turned on and the other switches are turned off, the computing device 20 detects that the first output signal Vo1 is 0.194 (V). When the second switch is turned on and the other switches are turned off, the computing device 20 detects that the second output signal Vo2 is 1.19 (V). When the second switch 12 and the third switch 13 are turned on and the first switch 11 is turned off, the calculation device 20 detects that the third output signal Vo3 is 2.292 (V). Afterwards, the calculation device 20 calculates the first amplification gain (that is, Av1=Vo2/Vo1=1.19/0.194=6.134) according to formula (1), and the first amplification gain Av1 is known to be about 6.134 from the above formula, and the calculation device 20 according to The formula (3) calculates the second amplification gain (that is, Av2=Vo3/Vo1=2.292/0.194=11.8144), and the second amplification gain Av2 is about 11.814 from the above formula. Afterwards, the calculation device 20 calculates the reactance value Xc according to the formula (4) (that is, Xc=R1/(Av2-Av1)=25000/(11.814-6.134)=4401.089), and the reactance of the capacitor 40 to be measured is obtained from the above formula The value Xc is 4401.089 (ohm). Afterwards, the calculation device 20 calculates the measurement value C2 according to the formula (5) (that is, C2=1/(2πfXc)=1/(2π.1091000.4401.088929=33.163.10 −12 ), so the measurement of the capacitance to be measured 40 The value C2 is about 33.163 (pF). Accordingly, the error value between the target value C1 and the measured value C2 of the capacitance to be measured 40 can be calculated (ie |(C1-C2)|/C1=|(33. 10 -12 -33.163.10 -12 )|/ 33.10 -12 =0.00494), from the above formula, it can be known that the error value between the target value C1 and the measured value C2 of the capacitance 40 to be measured is about 0.494%.

而當待測電容40的目標值C1為305(pF)時,交流電源30提供輸入訊號Vin的頻率設定為329000(Hz)。當第一切換器11導通,其餘切換器皆為斷開時,計算裝置20偵測到第一輸出訊號Vo1為0.194(V)。當第二切換器導通,其餘切換器皆為斷開時,計算裝置20偵測到第二輸出訊號Vo2為1.19(V)。當第二切換器12及第三切換器13導通時,第一切換器11斷開時,計算裝置20偵測到第三輸出訊號Vo3為4.24(V)。之後,計算裝置20根據算式(1)、(3)、(4)及(5)計算出第一放大增益Av1約為6.134及第二放大增益Av2約為21.856,待測電容40的電抗值Xc約為1590.164(ohm),以及待測電容40的量測值C2約為304.371(pF),其中待測電容40目標值C1與量測值C2的誤差值約為0.206%。When the target value C1 of the capacitance under test 40 is 305 (pF), the frequency of the input signal Vin provided by the AC power supply 30 is set to 329000 (Hz). When the first switch 11 is turned on and the other switches are turned off, the computing device 20 detects that the first output signal Vo1 is 0.194 (V). When the second switch is turned on and the other switches are turned off, the computing device 20 detects that the second output signal Vo2 is 1.19 (V). When the second switch 12 and the third switch 13 are turned on and the first switch 11 is turned off, the calculation device 20 detects that the third output signal Vo3 is 4.24 (V). Afterwards, the calculation device 20 calculates the first amplification gain Av1 to be about 6.134 and the second amplification gain Av2 to be about 21.856 according to formulas (1), (3), (4) and (5), and the reactance value Xc of the capacitance to be measured 40 It is about 1590.164 (ohm), and the measured value C2 of the capacitor under test 40 is about 304.371 (pF), wherein the error value between the target value C1 of the capacitor under test 40 and the measured value C2 is about 0.206%.

當待測電容40的目標值C1為557(pF)時,交流電源30提供輸入訊號Vin的頻率設定為228000(Hz)。當第一切換器11導通,其餘切換器皆為斷開時,計算裝置20偵測到第一輸出訊號Vo1為0.194(V)。當第二切換器導通,其餘切換器皆為斷開時,第二輸出訊號Vo2為1.19(V)。當第二切換器12及第三切換器13導通時,第一切換器11斷開時,第三輸出訊號Vo3為4.24(V)。之後,計算裝置20根據算式(1)、(3)、(4)及(5)運算出第一放大增益Av1約為6.134及第二放大增益Av2約為26.082,待測電容40的電抗值Xc約為1253.23(ohm),以及待測電容40的量測值C2約為557.282(pF),其中待測電容40目標值C1與量測值C2的誤差值約為0.051%。When the target value C1 of the capacitance under test 40 is 557 (pF), the frequency at which the AC power supply 30 provides the input signal Vin is set to 228000 (Hz). When the first switch 11 is turned on and the other switches are turned off, the computing device 20 detects that the first output signal Vo1 is 0.194 (V). When the second switch is turned on and the other switches are all turned off, the second output signal Vo2 is 1.19 (V). When the second switch 12 and the third switch 13 are turned on, and when the first switch 11 is turned off, the third output signal Vo3 is 4.24 (V). Afterwards, the calculation device 20 calculates the first amplification gain Av1 to be about 6.134 and the second amplification gain Av2 to be about 26.082 according to formulas (1), (3), (4) and (5), and the reactance value Xc of the capacitance to be measured 40 It is about 1253.23 (ohm), and the measured value C2 of the capacitor under test 40 is about 557.282 (pF), wherein the error value between the target value C1 of the capacitor under test 40 and the measured value C2 is about 0.051%.

當待測電容40的目標值C1為792(pF)時,交流電源30提供輸入訊號Vin的頻率設定為184000(Hz)。當第一切換器11導通,其餘切換器皆為斷開時,計算裝置20偵測到第一輸出訊號Vo1為0.194(V)。當第二切換器導通,其餘切換器皆為斷開時,第二輸出訊號Vo2為1.19(V)。當第二切換器12及第三切換器13導通時,第一切換器11斷開時,第三輸出訊號Vo3為5.63(V)。之後,計算裝置20根據算式(1)、(3)、(4)及(5)運算出第一放大增益Av1約為6.134及第二放大增益Av2約為29.021,待測電容40的電抗值Xc約為1092.342(ohm),以及待測電容40的量測值C2約為792.253(pF),其中待測電容40目標值C1與量測值C2的誤差值約為0.032%。When the target value C1 of the capacitance under test 40 is 792 (pF), the frequency of the input signal Vin provided by the AC power supply 30 is set to 184000 (Hz). When the first switch 11 is turned on and the other switches are turned off, the computing device 20 detects that the first output signal Vo1 is 0.194 (V). When the second switch is turned on and the other switches are all turned off, the second output signal Vo2 is 1.19 (V). When the second switch 12 and the third switch 13 are turned on, and when the first switch 11 is turned off, the third output signal Vo3 is 5.63 (V). Afterwards, the calculation device 20 calculates the first amplification gain Av1 to be about 6.134 and the second amplification gain Av2 to be about 29.021 according to formulas (1), (3), (4) and (5), and the reactance value Xc of the capacitance to be measured 40 It is about 1092.342 (ohm), and the measured value C2 of the capacitor under test 40 is about 792.253 (pF), wherein the error value between the target value C1 of the capacitor under test 40 and the measured value C2 is about 0.032%.

如圖4所示,每組實驗數據所顯示的量測值與目標值之間的誤差皆小於1%,由此可知本發明的電容量測系統1具備良好的準確度。As shown in FIG. 4 , the error between the measured value and the target value displayed by each set of experimental data is less than 1%, which shows that the capacitance measuring system 1 of the present invention has good accuracy.

此外,本發明的量測電路10可具備不同實施態樣。圖5是本發明第二實施例的量測電路10的電路圖,圖6是本發明第三實施例的量測電路10的電路圖,並請同時參考圖1至圖4。In addition, the measurement circuit 10 of the present invention may have different implementation aspects. FIG. 5 is a circuit diagram of a measurement circuit 10 according to a second embodiment of the present invention, and FIG. 6 is a circuit diagram of a measurement circuit 10 according to a third embodiment of the present invention. Please refer to FIGS. 1 to 4 at the same time.

如圖2、圖5及圖6所示,第二實施例(圖5)及第三實施例(圖6)的量測電路10大致與第一實施例(圖2)相似,故以下僅針對差異處進行說明。As shown in Fig. 2, Fig. 5 and Fig. 6, the measurement circuit 10 of the second embodiment (Fig. 5) and the third embodiment (Fig. 6) is roughly similar to that of the first embodiment (Fig. 2), so the following only focuses on Differences are explained.

首先針對結構的部分進行說明。First, the structural part will be described.

關於第二實施例(圖5)的結構,相較於第一實施例,第二實施例的量測電路10更包含一第四切換器18及一第五切換器19。此外,第二實施例的第三切換器13與待測電容40為間接連接,例如第四切換器18的一端可與第三切換器13的第二端13b電性連接,第四切換器18的另一端可與一參考電容50電性連接,而第五切換器19的一端可與第三切換器13的第二端13b電性連接,第五切換器19的另一端可與待測電容40電性連接,使第三切換器13分別與第四切換器18及第五切換器19形成串聯的電性連接。在一實施例中,第四切換器18及第五切換器19的導通與否亦可由外部控制元件(圖未顯示)進行控制,但不限於此。Regarding the structure of the second embodiment ( FIG. 5 ), compared with the first embodiment, the measurement circuit 10 of the second embodiment further includes a fourth switch 18 and a fifth switch 19 . In addition, the third switch 13 of the second embodiment is indirectly connected to the capacitor 40 to be tested. For example, one end of the fourth switch 18 can be electrically connected to the second end 13b of the third switch 13, and the fourth switch 18 The other end of the switch 19 can be electrically connected to a reference capacitor 50, and one end of the fifth switch 19 can be electrically connected to the second end 13b of the third switch 13, and the other end of the fifth switch 19 can be connected to the capacitance to be measured. 40 are electrically connected, so that the third switch 13 is electrically connected in series with the fourth switch 18 and the fifth switch 19 respectively. In one embodiment, the conduction of the fourth switch 18 and the fifth switch 19 can also be controlled by an external control element (not shown in the figure), but it is not limited thereto.

關於第三實施例(圖6)的結構,相較於第一實施例,第三實施例(圖6)的量測電路10更包含一第四切換器18。第三實施例的第三切換器13與待測電容40為直接連接,第四切換器18的一端可以與第三切換器13的第一端13a電性連接,使第三切換器13與第四切換器18形成並聯的電性連接,第四切換器18的另一端可以與一參考電容50電性連接,第三切換器13的第二端13b可與待測電容40電性連接,透過第三切換器13控制待測電容40的電性連接,以及透過第四切換器18控制參考電容50電性的連接,使電路具有結構簡單,減少電路製造的成本。Regarding the structure of the third embodiment ( FIG. 6 ), compared with the first embodiment, the measurement circuit 10 of the third embodiment ( FIG. 6 ) further includes a fourth switch 18 . The third switcher 13 of the third embodiment is directly connected to the capacitor 40 to be tested, and one end of the fourth switcher 18 can be electrically connected to the first end 13a of the third switcher 13, so that the third switcher 13 is connected to the first end 13a of the third switcher 13. The four switches 18 form a parallel electrical connection, the other end of the fourth switch 18 can be electrically connected to a reference capacitor 50, the second end 13b of the third switch 13 can be electrically connected to the capacitor 40 to be measured, through The third switch 13 controls the electrical connection of the capacitor under test 40 and controls the electrical connection of the reference capacitor 50 through the fourth switch 18, so that the circuit has a simple structure and reduces the cost of circuit manufacturing.

在圖5或圖6的一實施例中,參考電容50為與待測電容40可為相同規格(例如具備相同的電容值等級或是為相同電容值級距,且不限於此),此外參考電容50的目標值(例如實際電容值)可為已知參數,參考電容50的目標值例如是經過標準實驗室檢測出來的標準值,具有高度的準確性,使參考電容50可做為比較或參考的基準。因此,參考電容50可做為電容量測系統1的量測結果的參考依據。In an embodiment of FIG. 5 or FIG. 6, the reference capacitor 50 may have the same specifications as the capacitor 40 to be tested (for example, have the same capacitance value level or be the same capacitance value level distance, and not limited thereto). The target value (such as the actual capacitance value) of the capacitor 50 can be a known parameter, and the target value of the reference capacitor 50 is, for example, a standard value detected by a standard laboratory, which has a high degree of accuracy, so that the reference capacitor 50 can be used as a comparison or Reference benchmark. Therefore, the reference capacitor 50 can be used as a reference for the measurement results of the capacitance measurement system 1 .

據此,在進行待測電容40的量測之前,圖5或圖6的量測電路10可先進行參考電容50的量測,並根據參考電容50的量測值及目標值調整出最適合的輸入訊號Vin頻率,之後再進行待測電容40的量測。接著將說明第二實施例及第三實施例的運作過程的細節。Accordingly, before measuring the capacitance to be measured 40, the measurement circuit 10 in FIG. 5 or FIG. 6 can first measure the reference capacitance 50, and adjust the most suitable The frequency of the input signal Vin is then measured for the capacitor 40 to be measured. Next, the details of the operation process of the second embodiment and the third embodiment will be described.

在第二實施例(圖5)中,於第一期間,第一切換器11導通,其餘切換器12、13、18、19斷開,此時量測電路10可輸出第一輸出訊號至計算裝置20。又於第二期間,第二切換器12導通,其餘切換器11、13、18、19斷開,此時量測電路10可輸出第一輸出訊號至計算裝置20,計算裝置20因此可計算出運算放大器14的第一放大增益。於第三期間,第二切換器12、第三切換器13及第四切換器18導通,其餘切換器11、19斷開,此時量測電路10可輸出第三輸出訊號至計算裝置20,計算裝置20因此可計算出運算放大器14的第二放大增益,並進而計算出參考電容50的一量測值。In the second embodiment (FIG. 5), during the first period, the first switch 11 is turned on, and the other switches 12, 13, 18, and 19 are turned off. At this time, the measurement circuit 10 can output the first output signal to the computer. device 20. Also during the second period, the second switch 12 is turned on, and the other switches 11, 13, 18, 19 are turned off. At this time, the measurement circuit 10 can output the first output signal to the computing device 20, and the computing device 20 can therefore calculate The first amplification gain of the operational amplifier 14. During the third period, the second switcher 12, the third switcher 13, and the fourth switcher 18 are turned on, and the remaining switches 11 and 19 are turned off. At this time, the measurement circuit 10 can output a third output signal to the computing device 20, Therefore, the calculation device 20 can calculate the second amplification gain of the operational amplifier 14 , and then calculate a measurement value of the reference capacitor 50 .

又,在第三實施例(圖6)中,於第一期間,第一切換器11導通,其餘切換器12、13、18斷開,此時量測電路10可輸出第一輸出訊號至計算裝置20。又於第二期間,第二切換器12導通,其餘切換器11、13、18斷開,此時量測電路10可輸出第一輸出訊號至計算裝置20,計算裝置20因此可計算出運算放大器14的第一放大增益。於第三期間,第二切換器12及第四切換器18導通,其餘切換器11、13斷開,此時量測電路10可輸出第三輸出訊號至計算裝置20,計算裝置20因此可計算出運算放大器14的第二放大增益,並進而計算出參考電容50的一量測值。第三實施例可具備更少的切換器,具有結構簡單的特色,並可減少電路設計成本。Also, in the third embodiment (FIG. 6), during the first period, the first switch 11 is turned on, and the remaining switches 12, 13, and 18 are turned off. At this time, the measurement circuit 10 can output the first output signal to the calculation device 20. Also during the second period, the second switch 12 is turned on, and the other switches 11, 13, 18 are turned off. At this time, the measurement circuit 10 can output the first output signal to the computing device 20, and the computing device 20 can therefore calculate the operational amplifier The first amplification gain of 14. During the third period, the second switcher 12 and the fourth switcher 18 are turned on, and the remaining switches 11 and 13 are turned off. At this time, the measurement circuit 10 can output the third output signal to the computing device 20, and the computing device 20 can therefore calculate The second amplification gain of the operational amplifier 14 is obtained, and then a measured value of the reference capacitor 50 is calculated. The third embodiment can have fewer switches, has a simple structure, and can reduce circuit design costs.

之後,將參考電容50的量測值與目標值進行比較,即可得知電容量測系統1目前的準確度。在一實施例中,藉由調變交流電源30所提供的輸入訊號Vin的頻率,電容量測系統1的準確度將可被調整。在一實施例中,根據參考電容50的量測值與目標值之間的差異,持續調變輸入訊號Vin的頻率,即可找出量測值與目標值差異最小時所對應的頻率,其中該頻率即可視為適合參考電容50或待測電容40規格的頻率。當合適頻率決定後,即可進行待測電容40的量測。Afterwards, by comparing the measured value of the reference capacitance 50 with the target value, the current accuracy of the capacitance measurement system 1 can be obtained. In one embodiment, by modulating the frequency of the input signal Vin provided by the AC power supply 30 , the accuracy of the capacitance measuring system 1 can be adjusted. In one embodiment, according to the difference between the measured value of the reference capacitor 50 and the target value, the frequency of the input signal Vin is continuously modulated to find the frequency corresponding to the minimum difference between the measured value and the target value, wherein This frequency can be regarded as a frequency suitable for the specification of the reference capacitor 50 or the capacitor under test 40 . After the appropriate frequency is determined, the measurement of the capacitance to be measured 40 can be performed.

此外,在一實施例中,電容量測系統1可自動進行前述調變頻率及尋找合適頻率的步驟,例如電容量測系統1可包含一控制器(圖5及圖6未顯示)、一記憶體(圖5及圖6未顯示)及一處理器(圖5及圖6未顯示),其中控制器可用於在特定期間內或在預設次數下控制交流電源30調變輸入訊號Vin的頻率,計算裝置20可比較每個頻率的量測值與目標值之間的差異,記憶體可記錄每次比較結果,而處理器可從該等比較結果中選擇差異最小結果所對應的頻率做為合適頻率,使交流電源30輸出合適頻率的輸出訊號。In addition, in one embodiment, the capacitance measuring system 1 can automatically perform the steps of adjusting the frequency and finding a suitable frequency. For example, the capacitance measuring system 1 can include a controller (not shown in FIGS. 5 and 6 ), a memory Body (not shown in Figures 5 and 6) and a processor (not shown in Figures 5 and 6), wherein the controller can be used to control the AC power supply 30 to modulate the frequency of the input signal Vin within a specific period or at a preset number of times , the calculation device 20 can compare the difference between the measured value of each frequency and the target value, the memory can record each comparison result, and the processor can select the frequency corresponding to the result with the smallest difference from the comparison results as An appropriate frequency, so that the AC power supply 30 outputs an output signal of an appropriate frequency.

在一實施例中,電容量測系統1中儲存有電容值或是電容值區間對應輸入訊號Vin的頻率的資料,當參考電容50的目標值C1為已知參數時,將參考電容50的目標值C1輸入電容量測系統1,交流電源30即可產生與參考電容50的目標值相對應的合適頻率,其中合適頻率的設定可如下:首先由交流電源30提供任意頻率的輸入訊號Vin,當第一切換器11導通,其餘切換器皆為斷開時,計算裝置20偵測到第一輸出訊號Vo1,當第二切換器導通,其餘切換器皆為斷開時,計算裝置20偵測到第二輸出訊號Vo2,當第二切換器12、第三切換器13及第四切換器18導通時,第一切換器11及第五切換器19斷開時,計算裝置20偵測到第三輸出訊號Vo3,接著計算裝置20根據算式(1)及(3)運算出第一放大增益Av1、第二放大增益Av2,計算裝置20再依據第一放大增益Av1、第二放大增益Av2、算式(2)及(4)運算出參考電容50的電抗值(例如Xc=R1/(Av2-Av1))。In one embodiment, the capacitance measurement system 1 stores the capacitance value or the data of the capacitance value range corresponding to the frequency of the input signal Vin. When the target value C1 of the reference capacitor 50 is a known parameter, the target value of the reference capacitor 50 The value C1 is input into the capacitance measurement system 1, and the AC power supply 30 can generate a suitable frequency corresponding to the target value of the reference capacitor 50, wherein the setting of the suitable frequency can be as follows: first, the AC power supply 30 provides an input signal Vin of any frequency, when When the first switch 11 is turned on and the rest of the switches are off, the computing device 20 detects the first output signal Vo1; when the second switch is turned on and the rest of the switches are off, the computing device 20 detects The second output signal Vo2, when the second switcher 12, the third switcher 13 and the fourth switcher 18 are turned on, and when the first switcher 11 and the fifth switcher 19 are turned off, the computing device 20 detects the third The output signal Vo3, then the calculation device 20 calculates the first amplification gain Av1 and the second amplification gain Av2 according to the formulas (1) and (3), and the calculation device 20 then calculates the first amplification gain Av1, the second amplification gain Av2, the formula ( 2) and (4) calculate the reactance value of the reference capacitor 50 (eg Xc=R1/(Av2-Av1)).

由於參考電容50的目標值為已知參數,參考電容50的電抗值也被計算得知,藉由算式(5)推導得知交流電源30提供的合適頻率f=1/(2πC1Xc),上述的計算可由電容量測系統1中的處理器(圖未顯示)運算,接著電容量測系統1即使用合適頻率作為交流電源30輸入訊號Vin,且參考電容50的目標值C1及對應交流電源30提供的合適頻率的可儲存至電容量測系統1中的記憶體(圖未顯示),便於後續輸入相同的電容值或是電容值區間時,電容量測系統1的控制器(圖未顯示)即可控制交流電源30產生與輸入電容值相應合適頻率的輸入訊號Vin,上述輸入訊號Vin的頻率的獲得方式,具有依照對應電容值快速獲得的優點,且電容量測系統1的量測誤差具備一定精準度。Since the target value of the reference capacitor 50 is a known parameter, the reactance value of the reference capacitor 50 is also calculated, and the appropriate frequency f=1/(2πC1Xc) provided by the AC power supply 30 can be obtained by deriving the formula (5). The calculation can be performed by a processor (not shown) in the capacitance measurement system 1, and then the capacitance measurement system 1 uses a suitable frequency as the input signal Vin of the AC power supply 30, and the target value C1 of the reference capacitor 50 and the corresponding AC power supply 30 provide The appropriate frequency can be stored in the memory (not shown) in the capacitance measuring system 1, so that when the same capacitance value or capacitance value range is input later, the controller (not shown) of the capacitance measuring system 1 is The AC power supply 30 can be controlled to generate an input signal Vin with an appropriate frequency corresponding to the input capacitance value. The above-mentioned method of obtaining the frequency of the input signal Vin has the advantage of being quickly obtained according to the corresponding capacitance value, and the measurement error of the capacitance measurement system 1 has a certain precision.

此外,輸入訊號獲得頻率的方式,可進一步搭配前一實施例中的方式,亦即先以計算的方式獲得交流電源30的輸入訊號Vin頻率調整的基礎值後,在特定期間內或在預設次數下控制交流電源30調變輸入訊號Vin的頻率,進而獲得參考電容50的量測值,計算裝置20再比較每個頻率的量測值與目標值之間的差異,而記憶體可記錄每次比較結果,處理器再從該等比較結果中選擇差異最小結果所對應輸入訊號Vin的頻率做為合適頻率。因量測電路10中可能存在寄生元件(parasitic element),進而對量測電路10造成影響,使量測值的結果產生誤差,為了降低寄生元件對量測電路10造成的影響,在特定期間內或在預設次數下控制交流電源30調變輸入訊號Vin的頻率,利用頻率的調整,進一步獲得交流電源30輸出適合參考電容50或待測電容40的頻率,使電容量測系統1的量測誤差值降到最低,且交流電源30的頻率獲得過程兼具效率與準確的優勢。In addition, the method of obtaining the frequency of the input signal can be further matched with the method in the previous embodiment, that is, the basic value of the frequency adjustment of the input signal Vin of the AC power supply 30 is first obtained by calculation, and then within a specific period or in a preset period The AC power supply 30 is controlled to adjust the frequency of the input signal Vin to obtain the measured value of the reference capacitor 50. The calculation device 20 then compares the difference between the measured value of each frequency and the target value, and the memory can record each frequency. The processor then selects the frequency of the input signal Vin corresponding to the result with the smallest difference from the comparison results as an appropriate frequency. Because there may be parasitic elements (parasitic elements) in the measurement circuit 10, which will affect the measurement circuit 10 and cause errors in the results of the measurement values. In order to reduce the influence of parasitic elements on the measurement circuit 10, within a specific period Or control the frequency of the AC power supply 30 to modulate the input signal Vin at a preset number of times, and use the adjustment of the frequency to further obtain the output frequency of the AC power supply 30 suitable for the reference capacitor 50 or the capacitor to be measured 40, so that the measurement of the capacitance measurement system 1 The error value is minimized, and the frequency acquisition process of the AC power supply 30 has the advantages of both efficiency and accuracy.

圖7是本發明一實施例的輸入訊號的頻率調變的實驗數據圖。FIG. 7 is an experimental data diagram of frequency modulation of an input signal according to an embodiment of the present invention.

如圖7所示,在參考電容50的目標值C1為33(pF)的情況下,當輸入訊號Vin的頻率未調整成合適頻率時(例如頻率為1000000Hz時),參考電容50的量測值C2為34.847(pF),量測值C2與目標值C1之間的誤差值約為5.597%。而當輸入訊號Vin的頻率為合適頻率的情況下(例如頻率為1090000Hz時),參考電容50的量測值C2為33.133(pF),量測值C2與目標值C1之間的誤差值約為0.403%。As shown in FIG. 7 , when the target value C1 of the reference capacitor 50 is 33 (pF), when the frequency of the input signal Vin is not adjusted to an appropriate frequency (for example, when the frequency is 1000000 Hz), the measured value of the reference capacitor 50 C2 is 34.847 (pF), and the error value between the measured value C2 and the target value C1 is about 5.597%. And when the frequency of the input signal Vin is an appropriate frequency (for example, when the frequency is 1090000Hz), the measured value C2 of the reference capacitor 50 is 33.133 (pF), and the error value between the measured value C2 and the target value C1 is about 0.403%.

又如圖7所示,在參考電容50的目標值C1為305(pF)的情況下,在輸入訊號Vin的頻率未調整成合適頻率的情況下(例如頻率為300000Hz時),參考電容50的量測值C2為281.261(pF),量測值C2與目標值C1之間的誤差值約為7.783%。而當輸入訊號Vin的頻率為合適頻率的情況下(例如頻率為333000Hz時),參考電容50的量測值C2為305.437(pF),因此量測值C2與目標值C1之間的誤差值約為0.143%。As shown in FIG. 7, when the target value C1 of the reference capacitor 50 is 305 (pF), and the frequency of the input signal Vin is not adjusted to a suitable frequency (for example, when the frequency is 300000 Hz), the reference capacitor 50 The measured value C2 is 281.261 (pF), and the error value between the measured value C2 and the target value C1 is about 7.783%. And when the frequency of the input signal Vin is a suitable frequency (for example, when the frequency is 333000Hz), the measured value C2 of the reference capacitor 50 is 305.437 (pF), so the error value between the measured value C2 and the target value C1 is about is 0.143%.

又如圖7所示,在參考電容50的目標值C1為557(pF)的情況下,在輸入訊號Vin的頻率未調整成合適頻率的情況下(例如頻率為200000Hz時),參考電容50的量測值C2為505.614(pF),量測值C2與目標值C1之間的誤差值約為9.225%。而當輸入訊號Vin的頻率為合適頻率的情況下(例如頻率為230000Hz時),參考電容50的量測值C2為557.281(pF),因此量測值C2與目標值C1之間的誤差值約為0.05%。As shown in FIG. 7, when the target value C1 of the reference capacitor 50 is 557 (pF), when the frequency of the input signal Vin is not adjusted to an appropriate frequency (for example, when the frequency is 200000 Hz), the reference capacitor 50 The measured value C2 is 505.614 (pF), and the error value between the measured value C2 and the target value C1 is about 9.225%. And when the frequency of the input signal Vin is a suitable frequency (for example, when the frequency is 230000 Hz), the measured value C2 of the reference capacitor 50 is 557.281 (pF), so the error value between the measured value C2 and the target value C1 is about 0.05%.

據此,每組實驗數據皆顯示了當輸入訊號Vin的頻率調變為合適頻率時,量測值與目標值的誤差可大幅降低的結果。由此可知,調變輸入訊號Vin的頻率確實可改變電容量測系統1的準確度。Accordingly, each set of experimental data shows that when the frequency of the input signal Vin is adjusted to an appropriate frequency, the error between the measured value and the target value can be greatly reduced. It can be seen from this that the accuracy of the capacitance measuring system 1 can be changed indeed by modulating the frequency of the input signal Vin.

藉由設定合適頻率的機制,量測環境中的寄生電容造成的影響將可被大幅降低。並且,藉由頻率的調變,電容量測系統1可支援量測容量更小的電容值(例如pF等級),因此可解決習知技術的量測電容值容量限制的問題。By setting an appropriate frequency mechanism, the influence of parasitic capacitance in the measurement environment can be greatly reduced. Moreover, by frequency modulation, the capacitance measurement system 1 can support capacitance measurement with a smaller capacitance (for example, pF level), thus solving the problem of capacity limitation in capacitance measurement in the prior art.

經由上述實驗驗證,合適頻率確實能使參考電容50的量測值C2與目標值C1之間的誤差值小於一預設值(例如小於1%)。之後,即可依照合適頻率進行與參考電容50相同規格之待測電容40的量測。接著說明第二實施例(圖5)及第三實施例(圖6)量測待測電容40時的細節。It is verified by the above experiments that the appropriate frequency can indeed make the error value between the measured value C2 of the reference capacitor 50 and the target value C1 smaller than a preset value (for example, smaller than 1%). Afterwards, the measurement of the capacitance under test 40 having the same specifications as the reference capacitance 50 can be performed according to an appropriate frequency. Next, the details of the second embodiment ( FIG. 5 ) and the third embodiment ( FIG. 6 ) when measuring the capacitor 40 to be measured will be described.

在第二實施例中,當合適頻率決定後,量測電路10可輸出相對應的第一輸出訊號及第二輸出訊號。之後,第二切換器12、第三切換器13及第五切換器19可導通,而其餘切換器11、18斷開,此時量測電路10可輸出第三輸出訊號至計算裝置20,計算裝置20可計算出運算放大器14的第二放大增益,並進而計算出待測電容40的電容值。In the second embodiment, when the appropriate frequency is determined, the measurement circuit 10 can output the corresponding first output signal and second output signal. Afterwards, the second switcher 12, the third switcher 13 and the fifth switcher 19 can be turned on, while the remaining switches 11, 18 are turned off. At this time, the measurement circuit 10 can output the third output signal to the computing device 20, and calculate The device 20 can calculate the second amplification gain of the operational amplifier 14 , and then calculate the capacitance value of the capacitor 40 to be measured.

又,在第三實施例中,當合適頻率決定後,量測電路10可輸出相對應的第一輸出訊號及第二輸出訊號。之後,第二切換器12及第三切換器13可導通,而其餘切換器11、18斷開,此時量測電路10可輸出第三輸出訊號至計算裝置20,計算裝置20可計算出運算放大器14的第二放大增益,並進而計算出待測電容40的電容值。Moreover, in the third embodiment, when the appropriate frequency is determined, the measurement circuit 10 can output the corresponding first output signal and second output signal. Afterwards, the second switcher 12 and the third switcher 13 can be turned on, while the remaining switches 11, 18 are turned off, at this time, the measurement circuit 10 can output the third output signal to the computing device 20, and the computing device 20 can calculate the calculation The second amplification gain of the amplifier 14, and then calculate the capacitance value of the capacitor 40 to be measured.

圖8是本發明一實施例的合適頻率對應待測電容的實驗數據圖。FIG. 8 is an experimental data diagram of the appropriate frequency corresponding to the capacitance to be measured according to an embodiment of the present invention.

如圖8所示,量測電路10採取第二實施例或第三實施例的電路設計,待測電容40採用已知實際電容值(以下稱之為目標值C1)的電容,以方便計算目標值C1與量測值C2的誤差值。此外,待測電容40的數值分別選用33(pF)、305(pF)及557(pF),以符合與各參考電容50相同規格的條件,並配合圖7中各參考電容50的目標值C1所對應的合適頻率,透過量測電路10運算以獲得待測電容的量測值C2,並由計算裝置20獲得目標值C1與量測值C2的誤差值結果。As shown in Figure 8, the measuring circuit 10 adopts the circuit design of the second embodiment or the third embodiment, and the capacitance to be measured 40 adopts a capacitance whose actual capacitance value (hereinafter referred to as target value C1) is known, so as to facilitate the calculation of the target The error value between the value C1 and the measured value C2. In addition, the values of the capacitors 40 to be tested are respectively selected as 33 (pF), 305 (pF) and 557 (pF) to meet the conditions of the same specifications as the reference capacitors 50, and to match the target value C1 of each reference capacitor 50 in FIG. 7 The corresponding appropriate frequency is calculated by the measuring circuit 10 to obtain the measured value C2 of the capacitance to be measured, and the calculation device 20 obtains the error value result between the target value C1 and the measured value C2.

又如圖8所示,待測電容40的目標值C1為33(pF)時,依照圖7的結果,採用與待測電容40相同規格的參考電容50(目標值C1同為33(pF))獲得的合適頻率(例如頻率為1090000Hz時)作為輸入訊號Vin,待測電容40的量測值C2為33.193(pF),量測值C2與目標值C1之間的誤差值約為 0.585%。透過合適頻率的選用,將使得量測電路10檢測待測電容40的結果更為準確。As shown in Fig. 8 again, when the target value C1 of the capacitance to be measured 40 is 33 (pF), according to the result of Fig. 7, adopt the reference capacitance 50 (the target value C1 is 33 (pF) of the same specification as the capacitance to be measured 40) ) as the input signal Vin, the measured value C2 of the capacitor 40 to be measured is 33.193 (pF), and the error between the measured value C2 and the target value C1 is about 0.585%. Through the selection of an appropriate frequency, the result of the measurement circuit 10 detecting the capacitor 40 under test will be more accurate.

又如圖8所示,待測電容40的目標值C1為305(pF)時,依照圖7的結果,採用與待測電容40相同規格的參考電容50(目標值C1同為305(pF))獲得的合適頻率(例如頻率為333000Hz時)作為輸入訊號Vin,待測電容40的量測值C2為306.432(pF),量測值C2與目標值C1之間的誤差值約為 0.470%。透過合適頻率的選用,將使得量測電路10檢測待測電容40的結果更為準確。As shown in Fig. 8 again, when the target value C1 of the capacitance to be measured 40 is 305 (pF), according to the result of Fig. 7, adopt the reference capacitance 50 of the same specification as the capacitance to be measured 40 (the target value C1 is the same as 305 (pF) ) as the input signal Vin, the measured value C2 of the capacitor 40 to be tested is 306.432 (pF), and the error between the measured value C2 and the target value C1 is about 0.470%. Through the selection of an appropriate frequency, the result of the measurement circuit 10 detecting the capacitor 40 under test will be more accurate.

又如圖8所示,待測電容40的目標值C1為557(pF)時,依照圖7的結果,採用與待測電容40相同規格的參考電容50(目標值C1同為557(pF))獲得的合適頻率(例如頻率為230000Hz時)作為輸入訊號Vin,待測電容40的量測值C2為560.161(pF),量測值C2與目標值C1之間的誤差值約為 0.568%。透過合適頻率的選用,將使得量測電路10檢測待測電容40的結果更為準確。As shown in Fig. 8 again, when the target value C1 of the capacitance to be measured 40 is 557 (pF), according to the result of Fig. 7, adopt the reference capacitance 50 of the same specification as the capacitance to be measured 40 (the target value C1 is 557 (pF) ) as the input signal Vin, the measured value C2 of the capacitor 40 to be tested is 560.161 (pF), and the error between the measured value C2 and the target value C1 is about 0.568%. Through the selection of an appropriate frequency, the result of the measurement circuit 10 detecting the capacitor 40 under test will be more accurate.

據此,經由上述實驗得知,不同規格的待測電容40皆能先透過相同規格的參考電容50連接量測電路10,並調變輸入訊號Vin而獲得合適的頻率後,再將合適頻率的輸入訊號應用在相同規格的待測電容40上,使量測電路10檢測出的各待測電容40的量測值C2皆能夠維持在預定的誤差值以下(例如誤差值小於1%),進而讓量測電路10檢測待測電容40的結果更為準確。Accordingly, through the above experiments, it is known that the capacitors 40 to be tested with different specifications can be connected to the measurement circuit 10 through the reference capacitor 50 of the same specification, and the input signal Vin can be modulated to obtain a suitable frequency, and then a suitable frequency can be obtained. The input signal is applied to the capacitors under test 40 of the same specification, so that the measured value C2 of each capacitor under test 40 detected by the measuring circuit 10 can be maintained below a predetermined error value (for example, the error value is less than 1%), and then It is more accurate to let the measurement circuit 10 detect the capacitance 40 to be measured.

此外,當本發明的電容量測系統的準確度需要被調整時,使用者僅需調變交流電源的輸入訊號的頻率即可達成,相較於現有技術必須調整大量參數才能調整準確度的情形,本發明在使用上可具備高度方便性。In addition, when the accuracy of the capacitance measurement system of the present invention needs to be adjusted, the user only needs to adjust the frequency of the input signal of the AC power supply, compared to the situation in the prior art where a large number of parameters must be adjusted to adjust the accuracy , the present invention can possess high convenience in use.

藉此,本發明提供了電容量測系統、量測電路及計算裝置,可提供高準確度的量測結果,並可解決習知技術的問題。Therefore, the present invention provides a capacitance measurement system, a measurement circuit and a computing device, which can provide high-accuracy measurement results and can solve the problems of the prior art.

上述實施例僅係為了方便說明而舉例而已,本發明所主張之權利範圍自應以申請專利範圍所述為準,而非僅限於上述實施例。The above-mentioned embodiments are only examples for convenience of description, and the scope of rights claimed by the present invention should be based on the scope of the patent application, rather than limited to the above-mentioned embodiments.

1:電容量測系統 10:量測電路 IN:電路輸入端 OUT:電路輸出端 11~13(第一切換器11、第二切換器12、第三切換器13):切換器 14:運算放大器 20:計算裝置 30:交流電源 40:待測電容 11a:第一切換器的第一端 11b:第一切換器的第二端 12a:第二切換器的第一端 12b:第二切換器的第二端 13a:第三切換器的第一端 13b:第三切換器的第二端 14a:第一輸入端 14b:第二輸入端 14c:輸出端 15:整流器 16:第一電阻 17:第二電阻 A:節點 B:節點 S31~S37:步驟 18:第四切換器 19:第五切換器 50:參考電容 Vo1:第一輸出訊號的電位 Vo2:第二輸出訊號的電位 Vo3:第三輸出訊號的電位 Av1:第一放大增益 Av2:第二放大增益 Xc:電抗值 Freq:頻率 C2:量測值 C1:目標值 1: Capacitance measurement system 10: Measuring circuit IN: circuit input OUT: circuit output 11~13 (first switcher 11, second switcher 12, third switcher 13): switcher 14: Operational amplifier 20: Computing device 30: AC power 40: capacitance to be tested 11a: the first end of the first switcher 11b: the second end of the first switch 12a: the first end of the second switcher 12b: the second end of the second switcher 13a: the first end of the third switch 13b: the second end of the third switch 14a: first input terminal 14b: the second input terminal 14c: output terminal 15: Rectifier 16: The first resistance 17: Second resistor A: node B: node S31~S37: steps 18: Fourth switcher 19: Fifth switcher 50: Reference capacitance Vo1: The potential of the first output signal Vo2: potential of the second output signal Vo3: potential of the third output signal Av1: the first amplification gain Av2: second amplification gain Xc: reactance value Freq: frequency C2: measured value C1: target value

圖1是本發明一實施例的電容量測系統的架構示意圖; 圖2是本發明第一實施例的量測電路的細部電路圖; 圖3是本發明一實施例的計算裝置的運作流程圖; 圖4是本發明一實施例的實驗數據結果的示意圖; 圖5是本發明第二實施例的量測電路的電路圖; 圖6是本發明第三實施例的量測電路的電路圖; 圖7是本發明一實施例的輸入訊號的頻率調變的實驗數據圖; 圖8是本發明一實施例的合適頻率對應待測電容的實驗數據圖。 1 is a schematic diagram of the architecture of a capacitance measuring system according to an embodiment of the present invention; Fig. 2 is a detailed circuit diagram of the measurement circuit of the first embodiment of the present invention; FIG. 3 is an operation flow chart of a computing device according to an embodiment of the present invention; Fig. 4 is the schematic diagram of the experimental data result of an embodiment of the present invention; FIG. 5 is a circuit diagram of a measuring circuit according to a second embodiment of the present invention; FIG. 6 is a circuit diagram of a measuring circuit according to a third embodiment of the present invention; FIG. 7 is an experimental data diagram of frequency modulation of an input signal according to an embodiment of the present invention; FIG. 8 is an experimental data diagram of the appropriate frequency corresponding to the capacitance to be measured according to an embodiment of the present invention.

1:電容量測系統 1: Capacitance measurement system

10:量測電路 10: Measuring circuit

IN:電路輸入端 IN: circuit input

OUT:電路輸出端 OUT: circuit output

11~13:切換器(第一切換器~第三切換器) 11~13: switcher (first switcher~third switcher)

14:運算放大器 14: Operational amplifier

20:計算裝置 20: Computing device

30:交流電源 30: AC power

40:待測電容 40: capacitance to be tested

Claims (20)

一種電容量測系統(1),包含: 一交流電源(30); 一量測電路(10),包含一電路輸入端(IN)、一電路輸出端(OUT)、一運算放大器(14)及至少一切換器(13),其中該交流電源(30)與該電路輸入端(IN)電性連接,該至少一切換器(13)與一待測電容(40)電性連接;以及 一計算裝置(20),與該電路輸出端(OUT)電性連接; 其中,於該至少一切換器(13)斷開時,該量測電路(10)輸出至少一輸出訊號(Vo1、Vo2),且於該至少一切換器(13)導通時,該量測電路(10)輸出另一輸出訊號(Vo3),且該計算裝置(20)根據該等輸出訊號(Vo1、Vo2、Vo3)計算出該運算放大器(14)的一第一放大增益(Av1)及一第二放大增益(Av2),並根據該第一放大增益(Av1)及該第二放大增益(Av2)計算出該待測電容(40)的一電容值(C1)。 A capacitance measuring system (1), comprising: An AC power supply (30); A measurement circuit (10), comprising a circuit input terminal (IN), a circuit output terminal (OUT), an operational amplifier (14) and at least one switcher (13), wherein the AC power supply (30) and the circuit The input terminal (IN) is electrically connected, and the at least one switch (13) is electrically connected to a capacitor to be measured (40); and a computing device (20), electrically connected to the output terminal (OUT) of the circuit; Wherein, when the at least one switch (13) is turned off, the measurement circuit (10) outputs at least one output signal (Vo1, Vo2), and when the at least one switch (13) is turned on, the measurement circuit (10) output another output signal (Vo3), and the computing device (20) calculates a first amplification gain (Av1) and a second amplification gain (Av2), and calculate a capacitance value (C1) of the capacitance to be measured (40) according to the first amplification gain (Av1) and the second amplification gain (Av2). 如請求項1所述的電容量測系統(1),其中該量測電路(10)包含一第一切換器(11)、一第二切換器(12)及一第三切換器(13),且該第三切換器(13)與該待測電容(40)電性連接,其中該交流電源(30)透過該電路輸入端(IN)而分別與該運算放大器(14)的一第一輸入端(14a)及該第一切換器(11)的一第一端(11a)電性連接,該運算放大器(14)的一輸出端(14c)分別與該第二切換器(12)的一第一端(12a)及該第三切換器(13)的一第一端(13a)電性連接,該第三切換器(13)的一第二端(13b)用於與該待測電容(40)電性連接,該第一切換器(11)的一第二端(11b)及該第二切換器(12)的一第二端(12b)分別與該電路輸出端(OUT)電性連接。The capacitance measurement system (1) as described in claim 1, wherein the measurement circuit (10) includes a first switch (11), a second switch (12) and a third switch (13) , and the third switcher (13) is electrically connected to the capacitor under test (40), wherein the AC power supply (30) is respectively connected to a first one of the operational amplifier (14) through the circuit input terminal (IN). The input terminal (14a) is electrically connected to a first terminal (11a) of the first switch (11), and an output terminal (14c) of the operational amplifier (14) is respectively connected to a terminal of the second switch (12). A first end (12a) is electrically connected to a first end (13a) of the third switcher (13), and a second end (13b) of the third switcher (13) is used for connecting with the tested The capacitor (40) is electrically connected, and a second terminal (11b) of the first switch (11) and a second terminal (12b) of the second switch (12) are respectively connected to the circuit output terminal (OUT) electrical connection. 如請求項2所述的電容量測系統(1),其中該量測電路(10)更包含一第一電阻(16)及一第二電阻(17),且該運算放大器(14)的該輸出端(14c)透過該第一電阻(16)而與該第二電阻(17)及該第三切換器(13)電性連接。The capacitance measuring system (1) as described in claim 2, wherein the measuring circuit (10) further includes a first resistor (16) and a second resistor (17), and the operational amplifier (14) The output terminal (14c) is electrically connected with the second resistor (17) and the third switch (13) through the first resistor (16). 如請求項3所述的電容量測系統(1),其中該運算放大器(14)更包含一第二輸入端(14b),且該第二輸入端(14b)、該第一電阻(16)、該第二電組(17)及該第三切換器(13)電性連接於該量測電路(10)上的一節點(B)。The capacitance measuring system (1) as described in claim 3, wherein the operational amplifier (14) further includes a second input terminal (14b), and the second input terminal (14b), the first resistor (16) , the second electric group (17) and the third switch (13) are electrically connected to a node (B) on the measuring circuit (10). 如請求項2所述的電容量測系統(1),其中該量測電路(10)更包含一整流器(15),且該第一切換器(11)的該第二端(11b)及該第二切換器(12)的該第二端(12b)分別透過該整流器(15)而與該電路輸出端(OUT)電性連接。The capacitance measurement system (1) as described in claim 2, wherein the measurement circuit (10) further includes a rectifier (15), and the second end (11b) of the first switch (11) and the The second end (12b) of the second switcher (12) is electrically connected with the circuit output end (OUT) respectively through the rectifier (15). 如請求項2所述的電容量測系統(1),其中於一第一期間,該第一切換器(11)導通,該電路輸出端(OUT)輸出一第一輸出訊號(Vo1)至該計算裝置(20),且於一第二期間,該第二切換器(12)導通,該電路輸出端(OUT)輸出一第二輸出訊號(Vo2)至該計算裝置(20),其中該計算裝置(20)根據該第一輸出訊號(Vo1)及該第二輸出訊號(Vo2)計算出該第一放大增益(Av1)。The capacitance measuring system (1) as described in claim 2, wherein during a first period, the first switch (11) is turned on, and the circuit output terminal (OUT) outputs a first output signal (Vo1) to the computing device (20), and during a second period, the second switch (12) is turned on, and the circuit output terminal (OUT) outputs a second output signal (Vo2) to the computing device (20), wherein the computing The device (20) calculates the first amplification gain (Av1) according to the first output signal (Vo1) and the second output signal (Vo2). 如請求項6所述的電容量測系統(1),其中於一第三期間,該第二切換器(12)及該第三切換器(13)導通,該電路輸出端(OUT)輸出一第三輸出訊號(Vo3)至該計算裝置(20),其中該計算裝置(20)根據該第一輸出訊號(Vo1)及該第三輸出訊號(Vo3)計算出該第二放大增益(Av2),且該計算裝置(20)根據該第一放大增益(Av1)及該第二放大增益(Av2)計算出該待測電容(40)的一電抗值(Xc),並根據該電抗值(Xc)計算出該待測電容(40)的該電容值(C1)。The capacitance measuring system (1) as described in claim 6, wherein in a third period, the second switch (12) and the third switch (13) are turned on, and the circuit output terminal (OUT) outputs a The third output signal (Vo3) is sent to the calculation device (20), wherein the calculation device (20) calculates the second amplification gain (Av2) according to the first output signal (Vo1) and the third output signal (Vo3). , and the calculation device (20) calculates a reactance value (Xc) of the capacitance to be measured (40) according to the first amplification gain (Av1) and the second amplification gain (Av2), and according to the reactance value (Xc ) to calculate the capacitance value (C1) of the capacitance to be measured (40). 如請求項2所述的電容量測系統,其中更包含一第四切換器(18),與一參考電容(50)電性連接,且該第三切換器(13)與該第四切換器(18)採並聯或是串聯的方式電性連接。The capacitance measurement system as described in claim 2, which further includes a fourth switch (18), electrically connected to a reference capacitor (50), and the third switch (13) and the fourth switch (18) Electrically connect in parallel or in series. 一種量測電路(10),設置於一電容量測系統(1)中,並包含: 一電路輸入端(IN),與該電容量測系統(1)的一交流電源(30)電性連接; 一電路輸出端(OUT),與該電容量測系統(1)的一計算裝置(20)電性連接; 一運算放大器(14);及 至少一切換器(13),與該運算放大器14電性連接; 其中該交流電源(30)透過該電路輸入端(IN)與該運算放大器(14)電性連接,且該至少一切換器(13)與一待測電容(40)電性連接。 A measuring circuit (10), arranged in a capacitance measuring system (1), and comprising: A circuit input terminal (IN), electrically connected to an AC power supply (30) of the capacitance measuring system (1); a circuit output terminal (OUT), electrically connected to a computing device (20) of the capacitance measuring system (1); an operational amplifier (14); and at least one switcher (13), electrically connected with the operational amplifier 14; Wherein the AC power supply (30) is electrically connected to the operational amplifier (14) through the circuit input terminal (IN), and the at least one switch (13) is electrically connected to a capacitor to be measured (40). 如請求項9所述的量測電路(10),其中於該至少一切換器(13)斷開時,該量測電路(10)輸出至少一輸出訊號(Vo1、Vo2),且於該至少一切換器(13)導通時,該量測電路(10)輸出另一輸出訊號(Vo3),其中該計算裝置(20)根據該等輸出訊號(Vo1、Vo2、Vo3)計算出該運算放大器(14)的一第一放大增益(Av1)及一第二放大增益(Av2),並根據該第一放大增益(Av1)及該第二放大增益(Av2)計算出該待測電容(40)的一電容值(C1)。The measurement circuit (10) according to claim 9, wherein when the at least one switch (13) is turned off, the measurement circuit (10) outputs at least one output signal (Vo1, Vo2), and at least When a switcher (13) is turned on, the measurement circuit (10) outputs another output signal (Vo3), wherein the calculating device (20) calculates the operational amplifier ( 14) a first amplification gain (Av1) and a second amplification gain (Av2), and calculate the capacitance of the capacitance to be measured (40) according to the first amplification gain (Av1) and the second amplification gain (Av2). A capacitance value (C1). 如請求項10所述的量測電路(10),更包含一第一切換器(11)、一第二切換器(12),且與該待測電容(40)電性連接的該切換器(13)為一第三切換器(13),其中該交流電源(30)透過該電路輸入端(IN)而分別與該運算放大器(14)的一第一輸入端(14a)及該第一切換器(11)的一第一端(11a)電性連接,該運算放大器(14)的一輸出端(14c)分別與該第二切換器(12)的一第一端(12a)及該第三切換器(13)的一第一端(13a)電性連接,該第三切換器(13)的一第二端(13b)用於與該待測電容(40)電性連接,該第一切換器(11)的一第二端(11b)及該第二切換器(12)的一第二端(12b)分別與該電路輸出端(OUT)電性連接。The measurement circuit (10) as described in claim 10 further includes a first switch (11), a second switch (12), and the switch electrically connected to the capacitor to be measured (40) (13) is a third switcher (13), wherein the AC power supply (30) is respectively connected to a first input terminal (14a) and the first input terminal (14a) of the operational amplifier (14) through the circuit input terminal (IN). A first end (11a) of the switcher (11) is electrically connected, and an output end (14c) of the operational amplifier (14) is respectively connected to a first end (12a) of the second switcher (12) and the A first end (13a) of the third switcher (13) is electrically connected, and a second end (13b) of the third switcher (13) is used for electrically connecting with the capacitance to be measured (40), the A second end (11b) of the first switch (11) and a second end (12b) of the second switch (12) are electrically connected to the circuit output (OUT) respectively. 如請求項11所述的量測電路(10),更包含一第一電阻(16)及一第二電阻(17),且該運算放大器(14)的該輸出端(14c)透過該第一電阻(16)而與該第二電阻(17)及該第三切換器(13)電性連接。The measurement circuit (10) as described in claim 11 further comprises a first resistor (16) and a second resistor (17), and the output terminal (14c) of the operational amplifier (14) passes through the first The resistor (16) is electrically connected with the second resistor (17) and the third switch (13). 如請求項12所述的量測電路(10),其中該運算放大器(14)更包含一第二輸入端(14b),且該第二輸入端(14b)、該第一電阻(16)、該第二電組(17)及該第三切換器(13)電性連接於該量測電路(10)上的一節點(B)。The measurement circuit (10) as claimed in claim 12, wherein the operational amplifier (14) further includes a second input terminal (14b), and the second input terminal (14b), the first resistor (16), The second electrical group (17) and the third switch (13) are electrically connected to a node (B) on the measurement circuit (10). 如請求項11所述的量測電路(10),更包含一整流器(15),且該第一切換器(11)的該第二端(11b)及該第二切換器(12)的該第二端(12b)分別透過該整流器(15)而與該電路輸出端(OUT)電性連接。The measurement circuit (10) as described in claim 11 further includes a rectifier (15), and the second end (11b) of the first switch (11) and the second end (12) of the second switch (12) The second end (12b) is electrically connected with the circuit output end (OUT) respectively through the rectifier (15). 如請求項11所述的量測電路(10),其中於一第一期間,該第一切換器(11)導通,該電路輸出端(OUT)輸出一第一輸出訊號(Vo1)至該計算裝置(20),且於一第二期間,該第二切換器(12)導通,該電路輸出端(OUT)輸出一第二輸出訊號(Vo2)至該計算裝置(20)。The measurement circuit (10) as claimed in claim 11, wherein during a first period, the first switch (11) is turned on, and the circuit output terminal (OUT) outputs a first output signal (Vo1) to the calculation device (20), and during a second period, the second switch (12) is turned on, and the circuit output terminal (OUT) outputs a second output signal (Vo2) to the computing device (20). 如請求項15所述的量測電路(10),其中於一第三期間,該第二切換器(12)及該第三切換器(13)導通,該電路輸出端(OUT)輸出一第三輸出訊號(Vo3)至該計算裝置(20),其中該量測電路(10)根據該第一輸出訊號(Vo1)及該第三輸出訊號(Vo3)計算出該第二放大增益(Av2)。The measurement circuit (10) as described in claim 15, wherein during a third period, the second switch (12) and the third switch (13) are turned on, and the circuit output terminal (OUT) outputs a first Three output signals (Vo3) are sent to the calculation device (20), wherein the measurement circuit (10) calculates the second amplification gain (Av2) according to the first output signal (Vo1) and the third output signal (Vo3). . 如請求項11所述的量測電路(10),其中更包含一第四切換器(18)與一參考電容(50)電性連接,該第三切換器(13)與該第四切換器(18)採並聯或串聯的方式電性連接。The measurement circuit (10) as claimed in claim 11, further comprising a fourth switch (18) electrically connected to a reference capacitor (50), the third switch (13) and the fourth switch (18) Electrically connect in parallel or in series. 一種計算裝置(20),設置於如請求項1所述的電容量測系統(1)中,用於與電容量測系統(1)的該量測電路(10)的該電路輸出端(OUT)電性連接。A computing device (20), which is arranged in the capacitance measuring system (1) as described in claim 1, is used to communicate with the circuit output terminal (OUT) of the measuring circuit (10) of the capacitance measuring system (1) ) are electrically connected. 如請求項17所述的計算裝置(20),其中於一第一期間(T1),該計算裝置(20)自該電路輸出端(OUT)取得一第一輸出訊號(Vo1),且於一第二期間(T2),該計算裝置(20)自該電路輸出端(OUT)取得一第二輸出訊號(Vo2),並根據該第一輸出訊號(Vo1)及該第二輸出訊號(Vo2)計算出該第一放大增益(Av1)。The computing device (20) as described in claim 17, wherein during a first period (T1), the computing device (20) obtains a first output signal (Vo1) from the circuit output terminal (OUT), and during a During the second period (T2), the calculation device (20) obtains a second output signal (Vo2) from the circuit output terminal (OUT), and according to the first output signal (Vo1) and the second output signal (Vo2) This first amplification gain (Av1) is calculated. 如請求項18所述的計算裝置(20),其中於一第三期間(T3),該計算裝置(20)自該電路輸出端(OUT)取得一第三輸出訊號(Vo3),並根據該第一輸出訊號(Vo1)及該第三輸出訊號(Vo3)計算出該第二放大增益(Av2),且該計算裝置(20)根據該第一放大增益(Av1)及該第二放大增益(Av2)計算出該待測電容(40)的一電抗值(Xc),並根據該電抗值(Xc)計算出該待測電容(40)的該電容值(C1)。The computing device (20) as described in claim 18, wherein in a third period (T3), the computing device (20) obtains a third output signal (Vo3) from the circuit output terminal (OUT), and according to the The first output signal (Vo1) and the third output signal (Vo3) calculate the second amplification gain (Av2), and the calculation device (20) is based on the first amplification gain (Av1) and the second amplification gain ( Av2) Calculate a reactance value (Xc) of the capacitor under test (40), and calculate the capacitance value (C1) of the capacitor under test (40) according to the reactance value (Xc).
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