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南昌航空大學(xué)科技學(xué)院學(xué)士學(xué)位（論文）外文翻譯 Capacitive Sensor Operation Part 1: The Basics Part 1 of this two-part article reviews the concepts and theory of capacitive sensing to help to optimize capacitive sensor performance. Part 2 of this article will discuss how to put these concepts to work. Noncontact capacitive sensors measure the changes in an electrical property called capacitance. Capacitance describes how two conductive objects with a space between them respond to a voltage difference applied to them. A voltage applied to the conductors creates an electric field between them, causing positive and negative charges to collect on each object? Capacitive sensors use an alternating voltage that causes the charges to continually reverse their positions. The movement of the charges creates an alternating electric current that is detected by the sensor. The amount of current flow is determined by the capacitance, and the capacitance is determined by the surface area and proximity of the conductive objects. Larger and closer objects cause greater current than smaller and more distant objects. Capacitance is also affected by the type of nonconductive material in the gap between the objects. Technically speaking, the capacitance is directly proportional to the surface area of the objects and the dielectric constant of the material between them, and inversely proportional to the distance between them as shown.: In typical capacitive sensing applications, the probe or sensor is one of the conductive objects and the target object is the other. (Using capacitive sensors to sense plastics and other insulators will be discussed in the second part of this article.) The sizes of the sensor and the target are assumed to be constant, as is the material between them. Therefore, any change in capacitance is a result of a change in the distance between the probe and the target. The electronics are calibrated to generate specific voltage changes for corresponding changes in capacitance. These voltages are scaled to represent specific changes in distance. The amount of voltage change for a given amount of distance change is called the sensitivity. A common sensitivity setting is 1.0 V/100 μm. That means that for every 100 μm change in distance, the output voltage changes exactly 1.0 V. With this calibration, a 2 V change in the output means that the target has moved 200 μm relative to the probe. Focusing the Electric Field When a voltage is applied to a conductor, the electric field emanates from every surface. In a capacitive sensor, the sensing voltage is applied to the sensing area of the probe. For accurate measurements, the electric field from the sensing area needs to be contained within the space between the probe and the target. If the electric field is allowed to spread to other items—or other areas on the target—then a change in the position of the other item will be measured as a change in the position of the target. A technique called "guarding" is used to prevent this from happening. To create a guard, the back and sides of the sensing area are surrounded by another conductor that is kept at the same voltage as the sensing area itself. When the voltage is applied to the sensing area, a separate circuit applies the exact same voltage to the guard. Because there is no difference in voltage between the sensing area and the guard, there is no electric field between them. Any other conductors beside or behind the probe form an electric field with the guard instead of with the sensing area. Only the unguarded front of the sensing area is allowed to form an electric field with the target. Definitions Sensitivity indicates how much the output voltage changes as a result of a change in the gap between the target and the probe. A common sensitivity is 1 V/0.1 mm. This means that for every 0.1 mm of change in the gap, the output voltage will change 1 V. When the output voltage is plotted against the gap size, the slope of the line is the sensitivity. A system's sensitivity is set during calibration. When sensitivity deviates from the ideal value this is called sensitivity error, gain error, or scaling error. Since sensitivity is the slope of a line, sensitivity error is usually presented as a percentage of slope, a comparison of the ideal slope with the actual slope. Offset error occurs when a constant value is added to the output voltage of the system. Capacitive gauging systems are usually "zeroed" during setup, eliminating any offset deviations from the original calibration. However, should the offset error change after the system is zeroed, error will be introduced into the measurement. Temperature change is the primary factor in offset error. Sensitivity can vary slightly between any two points of data. The accumulated effect of this variation is called linearity erro. The linearity specification is the measurement of how far the output varies from a straight line. To calculate the linearity error, calibration data are compared to the straight line that would best fit the points. This straight reference line is calculated from the calibration data using least squares fitting. The amount of error at the point on the calibration line furthest away from this ideal line is the linearity error. Linearity error is usually expressed in terms of percent of full scale (%/F.S.). If the error at the worst point is 0.001 mm and the full scale range of the calibration is 1 mm, the linearity error will be 0.1%. Note that linearity error does not account for errors in sensitivity. It is only a measure of the straightness of the line rather than the slope of the line. A system with gross sensitivity errors can still be very linear. Error band accounts for the combination of linearity and sensitivity errors. It is the measurement of the worst-case absolute error in the calibrated range. The error band is calculated by comparing the output voltages at specific gaps to their expected value. The worst-case error from this comparison is listed as the system's error band. In Figure 7, the worst-case error occurs for a 0.50 mm gap and the error band (in bold) is –0.010. Gap (mm) Expected Value (VDC) Actual Value VDC) Error (mm) 0.50 –10.000 –9.800 –0.010 0.75 –5.000 –4.900 –0.005 1.00 0.000 0.000 0.000 1.25 5.000 5.000 0.000 1.50 10.000 10.100 0.005 Figure 7. Error values Bandwidth is defined as the frequency at which the output falls to –3 dB, a frequency that is also called the cutoff frequency. A –3 dB drop in the signal level is an approximately 30% decrease. With a 15 kHz bandwidth, a change of ±1 V at low frequency will only produce a ±0.7 V change at 15 kHz. Wide-bandwidth sensors can sense high-frequency motion and provide fast-responding outputs to maximize the phase margin when used in servo-control feedback systems; however, lower-bandwidth sensors will have reduced output noise which means higher resolution. Some sensors provide selectable bandwidth to maximize either resolution or response time. Resolution is defined as the smallest reliable measurement that a system can make. The resolution of a measurement system must be better than the final accuracy the measurement requires. If you need to know a measurement within 0.02 μm, then the resolution of the measurement system must be better than 0.02 μm. The primary determining factor of resolution is electrical noise. Electrical noise appears in the output voltage causing small instantaneous errors in the output. Even when the probe/target gap is perfectly constant, the output voltage of the driver has some small but measurable amount of noise that would seem to indicate that the gap is changing. This noise is inherent in electronic components and can be minimized, but never eliminated. If a driver has an output noise of 0.002 V with a sensitivity of 10 V/1 mm, then it has an output noise of 0.000,2 mm (0.2 μm). This means that at any instant in time, the output could have an error of 0.2 μm. The amount of noise in the output is directly related to bandwidth. Generally speaking, noise is distributed over a wide range of frequencies. If the higher frequencies are filtered before the output, the result is less noise and better resolution (Figures 8, 9). When examining resolution specifications, it is critical to know at what bandwidth the specifications apply. Capacitive Sensor Operation Part 2: System Optimization Part 2 of this two-part article focuses on how to optimize the performance of your capacitive sensor, and to understand how target material, shape, and size will affect the sensor's response. Effects of Target Size The target size is a primary consideration when selecting a probe for a specific application. When the sensing electric field is focused by guarding, it creates a slightly conical field that is a projection of the sensing area. The minimum target diameter is usually 130% of the diameter of the sensing area. The further the probe is from the target, the larger the minimum target size. Range of Measurement The range in which a probe is useful is a function of the size of the sensing area. The greater the area, the larger the range. Because the driver electronics are designed for a certain amount of capacitance at the probe, a smaller probe must be considerably closer to the target to achieve the desired amount of capacitance. In general, the maximum gap at which a probe is useful is approximately 40% of the sensing area diameter. Typical calibrations usually keep the gap to a value considerably less than this. Although the electronics are adjustable during calibration, there is a limit to the range of adjustment. Multiple Channel Sensing Frequently, a target is measured simultaneously by multiple probes. Because the system measures a changing electric field, the excitation voltagefor each probe must be synchronized or the probes will interfere with each other. If they were not synchronized, one probe would be trying to increase the electric field while another was trying to decrease it; the result would be a false reading. Driver electronics can be configured as masters or slaves; the master sets the synchronization for the slaves in multichannel systems. Effects of Target Material The sensing electric field is seeking a conductive surface. Provided that the target is a conductor, capacitive sensors are not affected by the specific target material; they will measure all conductors—brass, steel, aluminum, or salt water—as the same. Because the sensing electric field stops at the surface of the conductor, target thickness does not affect the measurement 中文翻譯 電容式傳感器操作第一部分：基礎(chǔ) 這篇文章的第一部分回顧了電容式傳感器的概念和理論來幫助我們優(yōu)化電容式傳感器的性能。第二部分討論了怎樣使這些概念去工作。 非接觸式電容傳感器測量的電特性變化稱為電容。電容描述了有一定距離的兩個(gè)導(dǎo)電物體怎樣產(chǎn)生一個(gè)電壓差。電壓施加到導(dǎo)體上并產(chǎn)生電場，造成正負(fù)電荷聚集到每個(gè)導(dǎo)體上。如果電壓的極性是相反的，那么電荷也是相反的。 電容式傳感器使用交流電壓就會(huì)引起電子不斷反轉(zhuǎn)他們的位置。傳感器就能檢測出電子移動(dòng)所產(chǎn)生的交流電流。電流的流量是由電容決定的，而電容是有導(dǎo)體的表面積和導(dǎo)體之間的距離決定的。表面積更大，距離更近的導(dǎo)體比小面積遠(yuǎn)距離導(dǎo)體能夠引起更大的電流。導(dǎo)體之間介質(zhì)的材料也影響電容。從技術(shù)上講，電容是與導(dǎo)體的表面積和在導(dǎo)體之間介質(zhì)的介電常數(shù)成正比的，與導(dǎo)體之間的距離成反比。公式如下： 在典型的電容式傳感應(yīng)用，探針或傳感器是導(dǎo)體中的一個(gè)，另一個(gè)則是測量對(duì)象。（利用電容式傳感器來感應(yīng)塑料和其他絕緣體將在本文的第二部分討論。）傳感器和被測對(duì)象的大小假定不變，這是由他們之間的材料確定。因此，電容的任何改變都是探針和目標(biāo)之間的距離變化產(chǎn)生的。被校準(zhǔn)的電子產(chǎn)生特定的電壓變化電容也產(chǎn)生相應(yīng)變化。這些電壓變化是與距離變化成比例的。在給定距離上產(chǎn)生的電壓變化叫做靈敏度。一個(gè)常見的靈敏度設(shè)置時(shí)1.0 V/100 μm。這就意味著每改變100μm的距離，輸出就會(huì)變化1V。有了這個(gè)校準(zhǔn)，一個(gè)2V的輸出變化就意味著目標(biāo)距離探測器發(fā)生了200μm的變化。 關(guān)于電場 當(dāng)電壓應(yīng)用于導(dǎo)體，電場從每個(gè)表面產(chǎn)生。在電容傳感器中，感應(yīng)電壓應(yīng)用到探頭的感應(yīng)區(qū)為了準(zhǔn)確測量，感應(yīng)區(qū)的電場需包含在探針與目標(biāo)的空間內(nèi)。如果電場可以傳播到其他項(xiàng)目，或者目標(biāo)的其他地區(qū)-在其他項(xiàng)目上這個(gè)位置的改變作為衡量在目標(biāo)的這個(gè)位置上測量的變化。一種名為“守衛(wèi)”的技術(shù)是用來防止這種情況發(fā)生。要?jiǎng)?chuàng)建一個(gè)守衛(wèi)，感應(yīng)區(qū)背部和四周都是被另一個(gè)導(dǎo)體包圍，以使這個(gè)感應(yīng)區(qū)本身為同一電壓。當(dāng)電壓施加到感應(yīng)區(qū)，一個(gè)單獨(dú)的電路應(yīng)用于完全相同的電壓給守衛(wèi)。因?yàn)樵诟袘?yīng)區(qū)和守衛(wèi)之間沒有電壓差，所以在他們之間就沒有電場。在探針周圍或后面的導(dǎo)體能與守衛(wèi)形成電場，而不是和感應(yīng)區(qū)。只有無守衛(wèi)的感應(yīng)區(qū)允許和目標(biāo)形成電場。 定義 靈敏度表示在目標(biāo)和探頭之間的差距變化時(shí)，輸出電壓的變化。一個(gè)常用靈敏度單位是1 V/0.1 mm。這意味著距離每改變0.1mm，輸出電壓改變1V。以距離為行坐標(biāo)輸出電壓為縱坐標(biāo)描點(diǎn)，這條線的斜率就是靈敏度。 在校準(zhǔn)時(shí)，就設(shè)置系統(tǒng)的靈敏度。當(dāng)靈敏度偏離理想值，這是所謂的靈敏度誤差，增益誤差，縮放錯(cuò)誤。由于靈敏度是一個(gè)直線的斜率，靈敏度錯(cuò)誤通常是表現(xiàn)為一個(gè)百分比的斜坡，一對(duì)理想與實(shí)際斜率的比較。 偏移誤差發(fā)生時(shí)，常值被添加到系統(tǒng)的輸出電壓。在設(shè)置期間電容測量系統(tǒng)通常是“零”，從原來的校準(zhǔn)中解決了偏移誤差。但是在系統(tǒng)清零后，偏移誤差應(yīng)當(dāng)改變，誤差將被引入到測量。溫度的變化是偏移誤差的主要因素。 靈敏度能夠在數(shù)據(jù)的任何兩點(diǎn)之間變化。這一變化的累積效應(yīng)被稱為線性誤差。線性度規(guī)范是測量輸出結(jié)果偏離直線多遠(yuǎn)。 為了計(jì)算線性誤差，標(biāo)定數(shù)據(jù)與最適合這些點(diǎn)的直線相比。這參考線是采用最小二乘擬合數(shù)據(jù)計(jì)算出的。校準(zhǔn)線上的誤差點(diǎn)中離基準(zhǔn)線最遠(yuǎn)的點(diǎn)是線性誤差。線性誤差通常在百分之方面表示滿量程（％/ FS）的。如果在最低點(diǎn)誤差為0.001毫米，全面的校準(zhǔn)范圍為 1毫米，線性誤差為0.1％。 請(qǐng)注意，線性誤差不算到靈敏度誤差中。這僅僅是該行的直線度測量，而不是直線的斜率。一個(gè)有著嚴(yán)重靈敏度錯(cuò)誤的系統(tǒng)仍然可以非常好的線性的。 誤差帶是線性和靈敏度誤差的組合。這是在校準(zhǔn)測量范圍內(nèi)最壞的情況下測量的絕對(duì)誤差。該誤差帶的計(jì)算方法是比較在輸出電壓和他們的預(yù)期值的具體差距。從這個(gè)比較最壞情況的錯(cuò)誤被列為該系統(tǒng)的誤差帶。在圖7中，最壞的情況下誤差為0.50毫米的差距和誤差帶（粗體）是-0.010。 間隔 (mm) 預(yù)期值(VDC) 實(shí)際指標(biāo) (VDC) 誤差 (mm) 0.50 –10.000 –9.800 –0.010 0.75 –5.000 –4.900 –0.005 1.00 0.000 0.000 0.000 1.25 5.000 5.000 0.000 1.50 10.000 10.100 0.005 圖7：誤差值 帶寬的定義是，當(dāng)輸出頻率下降至-3分貝的頻率，這也是所謂的截止頻率。一個(gè)在信號(hào)水平-3分貝下降，是近30％的跌幅。與15 kHz的帶寬，為±1V的低頻率的變化，只會(huì)在15千赫±0.7V的變化。寬的帶寬傳感器可以感知高頻移動(dòng)，并提供快速響應(yīng)，在使用反饋的伺服控制系統(tǒng)中以最大限度地輸出相位裕度；但是，低帶寬的傳感器會(huì)減少輸出噪聲，這意味著更高的分辨率。有些傳感器提供可選擇的帶寬，以最大限度地提高或分辨率或響應(yīng)時(shí)間。 分辨率是定義為一個(gè)系統(tǒng)可以做到最小的可靠的測量。一個(gè)測量系統(tǒng)的分辨率必須大于最終精確度的測量要求。如果您需要知道在0.02微米內(nèi)的尺寸，則該測量系統(tǒng)的分辨率必須比0.02微米好。 分辨率的主要決定因素是電氣噪聲。電噪聲出現(xiàn)在輸出電壓引起很小的輸出誤差。即使當(dāng)探針/目標(biāo)距離是完全不變，驅(qū)動(dòng)器的輸出電壓具有小但可測量的噪音，似乎就表明，這一距離在改變。這種噪聲是電子元器件固有的，可以最小化，但從來沒有消除。 如果一個(gè)驅(qū)動(dòng)程序有一個(gè)為10V/1毫米的靈敏度為0.002 V的輸出噪聲，那么它的輸出噪聲0.000,2毫米（0.2微米）。這意味著，在經(jīng)過一段時(shí)間后的任何瞬間，輸出能有0.2微米的誤差。 對(duì)噪聲的輸出量對(duì)帶寬有直接關(guān)系。一般來說，噪聲的頻率分布廣泛。如果更高頻率的輸出前過濾，其結(jié)果是減少噪音和高分辨率（圖8,9）。在檢查分辨率時(shí)，關(guān)鍵是知道規(guī)格適用在什么帶寬。 電容式傳感器操作第二部分：系統(tǒng)優(yōu)化 這部分分為這篇文章的第二部分著重就如何優(yōu)化您的電容式傳感器的性能，并了解靶材料，形狀和大小如何影響傳感器的響應(yīng)。 目標(biāo)大小的影響 當(dāng)選擇一個(gè)探測器進(jìn)行特定的應(yīng)用時(shí)，目標(biāo)的大小是一個(gè)主要的考慮因素。當(dāng)守衛(wèi)關(guān)注感應(yīng)電場時(shí)，它創(chuàng)建一個(gè)輕微的錐形場這是一個(gè)敏感領(lǐng)域的投影。最低目標(biāo)的直徑通常是感應(yīng)區(qū)直徑130％。探頭離目標(biāo)越遠(yuǎn)，最小目標(biāo)的大小越大。 測量范圍 該范圍是在其中一個(gè)探測器是一種有用的感應(yīng)區(qū)大小的函數(shù)。面積越大，范圍越大。由于電子產(chǎn)品的驅(qū)動(dòng)程序在探頭中被設(shè)計(jì)成有固定的電容，探頭越小越應(yīng)當(dāng)靠近目標(biāo)；來獲得設(shè)計(jì)的電容量。一般來說，在其中一個(gè)有用的探測器中最大的距離大約是感應(yīng)區(qū)域面積直徑的40%。典型的校準(zhǔn)通常保持對(duì)一個(gè)值大大低于這一標(biāo)準(zhǔn)的間距。雖然電子產(chǎn)品在校準(zhǔn)時(shí)可調(diào)節(jié)的，但是有一個(gè)對(duì)調(diào)整范圍的限制。 多通道遙感 通常情況下，目標(biāo)是同時(shí)被多個(gè)探頭測量。由于系統(tǒng)測量不斷變化的電場，每個(gè)探頭激勵(lì)電壓必須同步或探針會(huì)互相干擾。如果他們不同步，一個(gè)探頭將努力增加電場，另一個(gè)則試圖減少它，其結(jié)果將是一個(gè)錯(cuò)誤的讀數(shù)。電子驅(qū)動(dòng)器可以被配置為主或副，主系統(tǒng)為副系統(tǒng)設(shè)置了多通道同步系統(tǒng)。 目標(biāo)材料的影響 該感應(yīng)電場正在尋求一個(gè)導(dǎo)電表面。只要目標(biāo)是一個(gè)導(dǎo)體，電容傳感器不會(huì)受到目標(biāo)材料影響，他們會(huì)衡量所有導(dǎo)線，如黃銅，鋼，鋁，或咸水作為相同。由于感應(yīng)電場在導(dǎo)體表面停止，目標(biāo)厚度不影響測量。 測量非導(dǎo)體 電容式傳感器是最經(jīng)常被用來衡量在導(dǎo)電目標(biāo)位置的變化。但電容式傳感器可以有效測量存在，密度，厚度以及非導(dǎo)體的位置。非導(dǎo)電材料，如塑料比空氣有不同的電介質(zhì)常數(shù)。介電常數(shù)決定兩個(gè)導(dǎo)體之間不導(dǎo)電材料如何影響電容。當(dāng)一個(gè)非導(dǎo)體插入探頭和一個(gè)固定的參考指標(biāo)之間，感應(yīng)場穿過材料到接地目標(biāo)。該非導(dǎo)電材料的出現(xiàn)改變介電常數(shù)，因此改變電容。電容會(huì)鑒于材料的密度或厚度而改變。