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Evaluation of measurement uncertainty when calibrating power analyzers of high-frequency signals in coaxial paths 同轴路径高频信号功率分析仪校准时测量不确定度的评定
IF 0.1 Pub Date : 2022-06-30 DOI: 10.24027/2306-7039.2.2022.263889
S. Shevkun, Maryna Dobroliubova, Evhen Lapko
Implementation of modern requirements for the quality and stability of radio communications, including the required data rate in industrial and atmospheric jamming, is impossible without accurate measurements of signal power at the output of transmitting devices in the transmitter-antenna section. Such measurements are performed using power analyzers that measure both incident and reflected waves. These parameters allow calculating the standing wave ratio, which makes it possible to ensure optimal coordination of the transmitter with antenna, the required power modes and the efficiency of the transmitter as a whole. The paper presents main results of the research on the evaluation of measurement uncertainty when calibrating of the analyzers of the throughput power of high-frequency signals in coaxial paths. The structural scheme and equations (model) of measurements, and features of calculating uncertainty budget are described. The basic principles for obtaining continuous calibration results in the whole range of measurements are revealed. An example of presenting calibration results in graphical form is given. The content of quantitative and qualitative indicators of corrections that must be taken into account during calibration to achieve the highest accuracy of measurements is revealed. It is expedient to use practical results of researches on calibration of throughput power meters in many areas connected with telecommunications and transmission of radio signals.
如果不准确测量发射机天线部分中发射设备输出端的信号功率,就不可能实现无线电通信质量和稳定性的现代要求,包括工业和大气干扰中所需的数据速率。这种测量是使用测量入射波和反射波的功率分析器来执行的。这些参数允许计算驻波比,这使得可以确保发射器与天线的最佳协调、所需的功率模式以及发射器整体的效率。本文介绍了同轴通路高频信号通过功率分析仪校准时测量不确定度评定的主要研究结果。介绍了测量的结构方案和方程(模型),以及不确定度预算的计算特点。揭示了在整个测量范围内获得连续校准结果的基本原理。给出了以图形形式显示校准结果的示例。揭示了在校准过程中必须考虑的定量和定性校正指标的内容,以实现最高的测量精度。在与电信和无线电信号传输相关的许多领域中,使用吞吐量功率表校准的实际研究结果是有利的。
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引用次数: 0
Bilateral comparisons on COOMET Project 684/MD/16 “Pilot comparisons of national standards in the field of gas flow” 关于COOMET项目684/MD/16“天然气流量领域国家标准试点比较”的双边比较
IF 0.1 Pub Date : 2022-03-31 DOI: 10.24027/2306-7039.1.2022.258824
D. Serediuk, Yuriy Pelikan, Volodumur Gulyk, O. Bas
AbstractThe article describes the procedure for performing international bilateral comparisons of the national measurement standards of the units of gas volume and volume flow in Ukraine and Moldova. The comparisons were carried out within COOMET Project 684/MD/16 “Pilot comparisons of national standards in the field of gas flow”. The list of reference standards that took part in comparisons is indicated. The range of gas volume flow, in which the comparisons were carried out, is from 0.5 m3/h to 50 m3/h. For the flow range from 0.5 m3/h to 1 m3/h, a drum-type meter was used, and for the range from 2 m3/h to 50 m3/h, comparisons were performed using a rotary gas meter. It is indicated that the national state primary and secondary standards of the gas volume and volume flow units took part in the comparisons from Ukraine, while from Moldova it was the national standard of the gas volume flow unit. A brief description of the national measurement standards and the principle of reproduction of the gas volume and volume flow units is presented. In particular, it was noted that the primary and secondary standards of Ukraine are built on the basis of bell-type prover, and the standard of Moldova combines a piston and bell-type prover. The method of calculating, calculation of expanded uncertainty and determining the degree of equivalence of the national standards of Ukraine and Moldova are demonstrated. The results of bilateral comparisons in the form of Table 1 are presented and shown in Fig. 4. The degree of equivalence of the national standards does not exceed 0.41, which indicates that the primary and secondary standards reproduce the gas volume and volume flow units with declared uncertainties, and transfer standards retain their metrological characteristics throughout the cycle of comparisons. General conclusions are drawn about the success of bilateral comparisons.
文章描述了乌克兰和摩尔多瓦天然气体积和体积流量单位的国家测量标准的国际双边比较程序。这些比较是在COOMET项目684/MD/16“气流领域国家标准的试点比较”中进行的。列出了参与比较的参考标准清单。进行比较的气体体积流量范围为0.5 m3/h至50 m3/h。对于从0.5m3/h到1m3/h的流量范围,使用滚筒式流量计,并且对于从2m3/h到50m3/h的范围,使用旋转式气量计进行比较。据指出,乌克兰对天然气体积和体积流量单位的国家一级和二级标准进行了比较,而摩尔多瓦则将其作为天然气体积流量单元的国家标准。简要介绍了国家计量标准以及气体体积和体积流量单位的复制原理。特别指出的是,乌克兰的一级和二级标准是建立在钟形证明器的基础上的,摩尔多瓦的标准结合了活塞式和钟形证明器。介绍了乌克兰和摩尔多瓦国家标准的计算、扩展不确定度的计算和等效度的确定方法。双边比较结果如表1所示,如图4所示。国家标准的等效度不超过0.41,这表明一级和二级标准再现了具有声明不确定性的气体体积和体积流量单位,并且转移标准在整个比较周期中保持其计量特性。对双边比较的成功得出了一般性结论。
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引用次数: 0
Redefining Standard Measurement Uncertainty 重新定义标准测量不确定度
IF 0.1 Pub Date : 2022-03-31 DOI: 10.24027/2306-7039.1.2022.258815
A. Possolo, Olha Bodnar
The Guide to the Expression of Uncertainty in Measurement (GUM) defines standard measurement uncertainty as the standard deviation of a probability distribution that describes the uncertainty associated with an estimate of the measurand, and defines expanded uncertainty as a multiple of the standard uncertainty. Monte Carlo methods can produce the expanded uncertainty for 95 % coverage as one half of the length of the interval whose endpoints are the 2.5th and 97.5th percentiles of the probability distribution of the estimate of the measurand (when this distribution is approximately symmetrical). This creates an opportunity for a paradox to arise: that the standard uncertainty, defined as a standard deviation, can be larger than the expanded uncertainty. We provide an example involving real measurement data where this paradox arises with high probability, and then offer a new definition of standard uncertainty that agrees numerically with the conventional definition in “normal” cases, but that is still reliable in “abnormal” cases.
《测量不确定度表达指南》(GUM)将标准测量不确定性定义为概率分布的标准偏差,该概率分布描述了与被测量估计相关的不确定度,并将扩展不确定度定义为标准不确定度的倍数。蒙特卡洛方法可以产生95%覆盖率的扩展不确定性,作为区间长度的一半,区间的端点是被测量估计概率分布的2.5和97.5%(当该分布近似对称时)。这为悖论的出现创造了机会:定义为标准偏差的标准不确定性可能大于扩展的不确定性。我们提供了一个涉及真实测量数据的例子,其中这种悖论很有可能出现,然后提供了一种新的标准不确定度定义,该定义在“正常”情况下与传统定义在数值上一致,但在“异常”情况下仍然可靠。
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引用次数: 0
The measurement uncertainty of air object spatial coordinates by rho-theta fixing 用rho-theta固定法测量空气物体空间坐标的不确定度
IF 0.1 Pub Date : 2022-03-31 DOI: 10.24027/2306-7039.1.2022.258821
I. Zadorozhnaya, I. Zaharov, A. Tevyashev
The features of measurement uncertainty evaluation of the coordinates of an air object by the rho-theta fixing are discussed. Measurement models are presented that link its coordinates in the local rectangular coordinate system with the spherical coordinates of air object, found using a rangefinder and a goniometer. The models include a correction for determining the location of the base station, a correction for determining the angle of elevation due to inaccuracies in the leveling of the station platform and azimuth, and a correction related to the inaccuracy of the station’s reference to the north. The measurement uncertainty budgets of rectangular coordinates which can be a basis for creation of software for automation of calculation of measurement uncertainties are resulted. Estimates of expanded uncertainties are found by the method of kurtosis. Expressions for the relative standard uncertainties of coordinate measurements are written and an example of their estimation for real data is given.
讨论了用ρθ固定法评定航空物体坐标测量不确定度的特点。提出了将其在局部直角坐标系中的坐标与使用测距仪和测角仪找到的空气物体的球面坐标联系起来的测量模型。该模型包括用于确定基站位置的校正、用于确定由于站平台和方位角的调平不准确而引起的仰角的校正,以及与站相对于北方的参考不准确有关的校正。得出了直角坐标系的测量不确定度预算,该预算可作为创建测量不确定性自动化计算软件的基础。利用峰度方法得到了扩展不确定性的估计。给出了坐标测量的相对标准不确定度的表达式,并给出了对实际数据的估计实例。
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引用次数: 1
Metrological traceability chains for high DC voltage and voltages ratio 高直流电压和电压比计量溯源链
IF 0.1 Pub Date : 2022-03-31 DOI: 10.24027/2306-7039.1.2022.258823
O. Velychko, R. Vendychanskyi
The current stage of scientific and technical development is characterized by the widespread use of high-voltage technology. Metrological traceability has such important elements as calibration of measurement standards and measuring instruments and evaluation of measurement uncertainty. The range of values of specific measurands, the range of necessary measurement uncertainties and the measurement standards used are presented as metrological traceability chains. Building such chains for different types of measurements is important for national metrology institutes and calibration laboratories. An urgent task is to build metrological traceability chains for high direct current voltage measuring instruments. The proposed metrological traceability hierarchy chains are used in the State Enterprise “Ukrmetrteststandard” for calibration of working standards and working measuring instruments for high DC voltage and voltages ratio. These chains can be used also by accredited calibration laboratories, which carry out calibration of working measuring instruments for high direct current voltage and voltages ratio according to their own scope of accreditation.
当前科技发展阶段的特点是高压技术的广泛使用。计量溯源具有计量标准和计量器具的校准、计量不确定度的评定等重要内容。特定被测量值的范围、必要的测量不确定度的范围和使用的测量标准作为计量可追溯链。为不同类型的测量建立这样的链对于国家计量机构和校准实验室来说很重要。一项紧迫的任务是建立大直流电压测量仪器的计量溯源链。所提出的计量可追溯等级链用于国家企业“Ukrmetrteststandard”,用于校准高直流电压和电压比的工作标准和工作测量仪器。经认证的校准实验室也可以使用这些链,这些实验室根据自己的认证范围对高直流电压和电压比的工作测量仪器进行校准。
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引用次数: 0
Methods for indirect measurements of the emissivity of tungsten and iron-carbon alloys 钨和铁碳合金发射率的间接测量方法
IF 0.1 Pub Date : 2022-03-31 DOI: 10.24027/2306-7039.1.2022.258801
L. Zhukov, D. Petrenko
The purpose of the article is to increase accuracy and reliability of optical thermometry, including two-colour compensative thermometry with a priori averaged adjustment. The equation of nonlinearity of emissivity spectral distribution was previously obtained. The equation connects the nonlinearity coefficient of emissivity spectral distribution on the middle wave of the operating spectral range with the emissivity value at one of the boundary waves via 3 one-colour radiation temperatures. Based on the equation, linear two-range and parabolic methods for indirect measurements of emissivity is proposed. The results of emissivity determination are used to correct the a priori averaged adjustment of two-colour compensative thermometry. The linear method excludes the methodical error of temperature measurements for linear spectral distributions of emissivity. For tungsten and iron-carbon alloys, the methodical error of the two-colour compensative thermometry adjusted using the linear method does not exceed 0.52%. At the same time, the methodical errors of spectral ratio and energy pyrometry reach 3.19 and 6.07–8.42%. With a further hypothetical increase of nonlinearity coefficient by 2 times, the error of linear method increases from 0.52 to 1.02%. Both values are permissible in ferrous metallurgy. The two-range method is based on the inversion of nonlinearity of emissivity spectral distribution. The inversion means that nonlinearity coefficient changes its sign. In the case of tungsten, when spectral ranges are correctly chosen, the error of two-colour compensative thermometry with a corrected adjustment using the two-range method does not exceed the errors of reference measurements and makes up 0.06%. For essentially nonlinear distributions of emissivity, the parabolic method is proposed. The method excludes methodical error in case the emissivity on operating waves can be described by a polynomial of the 2-nd order. This polynomial approximation is typical for ferrous metals and their alloys. With the same nonlinearity of emissivity spectral distribution, for example, in case of tungsten, the error of parabolic method is 1.24 times less than of the linear method.
本文的目的是提高精度和可靠性的光学测温,包括双色补偿测温与先验平均调整。得到了发射率光谱分布的非线性方程。该方程通过3个单色辐射温度将工作光谱范围中波发射率光谱分布的非线性系数与其中一个边界波的发射率值联系起来。在此基础上,提出了间接测量发射率的线性双量程法和抛物线法。利用发射率测定结果对双色补偿测温的先验平均平差进行了校正。线性方法排除了辐射率线性光谱分布的温度测量方法误差。对于钨和铁碳合金,用线性法调整双色补偿测温的方法误差不超过0.52%。同时,光谱比和能量热分析法的方法误差分别达到3.19和6.07-8.42%。假设非线性系数再增加2倍,线性方法的误差从0.52%增加到1.02%。这两个值在铁冶金中都是允许的。双量程方法是基于发射率光谱分布的非线性反演。逆表示非线性系数改变其符号。以钨为例,在正确选择光谱范围的情况下,采用双量程法进行校正调整的双色补偿测温误差不超过参考测量误差,仅为0.06%。对于本质上是非线性的发射率分布,提出了抛物线法。当工作波的发射率可以用二阶多项式来描述时,该方法排除了方法误差。这种多项式近似是黑色金属及其合金的典型近似。在发射率光谱分布同样非线性的情况下,以钨为例,抛物线法的误差比线性法小1.24倍。
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引用次数: 2
The methods of data processing according to the measurement/classification procedure for quality indicators of objects 根据物体质量指标的测量/分类程序进行数据处理的方法
IF 0.1 Pub Date : 2022-03-31 DOI: 10.24027/2306-7039.1.2022.258827
O.U. Hoda, Ruslana Dovgaliuk, N. Yaremchuk
The measurement/classification procedure of object properties, such as quality indicators, is used for determination of object quality category. According to measurement uncertainty, the fuzzy classification scale is constructed. In accordance with this scale, fuzzy classification results are obtained. The use of fuzzy averaging for multiple measurements of individual quality indicators are proposed. The fuzzy logic operators that can be used in the construction of group quality indicators are considered and recommendations for their application are given. As an example of application of the proposed method, the definition of water quality categories on its biochemical properties is used.
对象属性(如质量指标)的测量/分类程序用于确定对象质量类别。根据测量不确定度,构造了模糊分类量表。根据该量表,得到了模糊分类结果。提出了将模糊平均用于单个质量指标的多次测量。考虑了可用于群体质量指标构建的模糊逻辑算子,并对其应用提出了建议。作为所提出方法的应用实例,使用了水质类别对其生化特性的定义。
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引用次数: 0
Energy technical light output of scintillators – problems of assessment and an alternative method for their solution 闪烁体的能量技术光输出。评估问题及其解决的替代方法
IF 0.1 Pub Date : 2022-03-31 DOI: 10.24027/2306-7039.1.2022.258813
B. Grynyov, N. Gurdzhian, O. Zelenskaya, L. Mitcay, V. Tarasov
The paper analyzes the problems that arise when assessing the energy technical light output by existing methods. A modern alternative method for assessing the energy technical light output of various scintillators produced by the Institute of Scintillation Materials of the National Academy of Sciences of Ukraine is described. The possibility of evaluating the technical light output of any scintillator by relative comparison with a reference stilbene-based scintillator with a known technical light output is shown. The resulting ratio of responses is recalculated in ph/MeV by taking into account the technical light output of the reference scintillator, equal to 0.023, and the photon formation energy of a particular scintillator. The estimation procedure is described. Expressions are given for calculating the values of the technical light yield of scintillators in stilbene units and in ph/MeV. The radioluminescence spectra of the tested scintillators are compared with the sensitivity spectra of the normalized and laboratory photodetectors. The technical light yield of scintillators based on single crystals of NaI(Tl), CsI(Tl), CWO, BGO, p-terphenyl, anthracene, stilbene, and a plastic scintillator has been estimated. The values of the responses amplitudes ratio, the spectral normalization coefficients and the tested scintillators technical light output were obtained in stilbene units and in ph/MeV. To check the adequacy of the method the calculation of the tested inorganic scintillators absolute light output was carried out using the light collection coefficients values given in the literature. It is shown that with an increase in the scintillators technical light output, in stilbene units, from 0.26 for BGO to 4.3 for NaI(Tl), their technical light output increases from 2500 ph/MeV to 33100 ph/MeV. A decrease in the scintillation photon energy from 2.988 (l = 415 nm) for NaI(Tl) to 2.214 (l = 560 nm) for CsI(Tl) also increases the technical light output of the latter to 35300 ph/MeV. The performed estimates accuracy of scintillators technical light output was 8%.
分析了现有方法在评估能源技术光输出时存在的问题。描述了一种现代替代方法,用于评估由乌克兰国家科学院闪烁材料研究所生产的各种闪烁体的能量技术光输出。通过与具有已知技术光输出的参考二苯乙烯基闪烁体进行相对比较,可以评估任何闪烁体的技术光输出。通过考虑参考闪烁体的技术光输出等于0.023和特定闪烁体的光子形成能量,以ph/MeV为单位重新计算得到的响应比。描述了估计过程。给出了以苯乙烯为单位和ph/MeV为单位的闪烁体技术产光量的计算表达式。将所测闪烁体的辐射发光光谱与归一化光探测器和实验室光探测器的灵敏度光谱进行了比较。估计了以NaI(Tl)、CsI(Tl)、CWO、BGO、对terphenyl、蒽、stilbene和塑料闪烁体单晶为基础的闪烁体的技术产光率。得到了以苯乙烯为单位和ph/MeV为单位的响应幅值比、光谱归一化系数和被测闪烁体的技术光输出值。为了验证该方法的充分性,用文献中给出的集光系数值计算了被测无机闪烁体的绝对光输出。结果表明,随着闪烁体技术光输出的增加,以二苯乙烯为单位,从BGO的0.26增加到NaI(Tl)的4.3,它们的技术光输出从2500 ph/MeV增加到33100 ph/MeV。闪烁光子能量从NaI(Tl)的2.988 (l = 415 nm)降低到CsI(Tl)的2.214 (l = 560 nm),也使后者的技术光输出增加到35300 ph/MeV。所进行的闪烁体技术光输出精度估计为8%。
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引用次数: 0
Experimental investigation on the effective radiating area of ultrasonic transducers with the aim of increasing the reproduction accuracy of the unit of ultrasonic pressure in water 以提高水中超声压力单元再现精度为目的,对超声换能器有效辐射面积进行了实验研究
IF 0.1 Pub Date : 2022-03-31 DOI: 10.24027/2306-7039.1.2022.258819
O. Shpak, Dariia Duviriak, V. Parakuda, I. Kizlivskyi
This paper presents the results of an experimental investigation on the effective radiating areas (AER) of auxiliary ultrasonic transducers forming part of the measurement standard for the unit of ultrasonic pressure in water NDETU AUV-02-2018. When carrying out measurements, the pressure field of MANA Instruments ultrasonic transducers E1025-SU; E2312-SU; E3512-SМ has been subjected to raster scanning at operating frequencies using a raster scanning system. A positioning device for ultrasonic transducers was developed at DP NDI “Systema” in the process of creating the measurement standard NDETU AUV-02-2018, and forms its integral part. The AER calculation protocol has been developed based on IEC 61689. The type A uncertainty has been evaluated from ten repetitions of the full measurement procedure to determine the AER, аnd the type B uncertainty has been estimated from the AER-specific mathematical model based on IEC 61689 and DSTU-N RMG 43 “Metrology. Application of the Guide to the Expression of Uncertainty in Measurement”.
本文介绍了辅助超声换能器的有效辐射面积(AER)的实验研究结果,该换能器是水中超声压力单位测量标准NDETU AUV-02-2018的一部分。在进行测量时,MANA Instruments的超声波换能器E1025-SU的压力场;E2312-SU;E3512-SМ已使用光栅扫描系统在工作频率下进行光栅扫描。DP NDI“Systema”在制定测量标准NDETU AUV-02-2018的过程中开发了用于超声波换能器的定位装置,并成为其组成部分。AER计算协议是基于iec61689标准开发的。A型不确定度通过完整测量程序的10次重复来评估,以确定AER, B型不确定度通过基于IEC 61689和dstun RMG 43“计量学”的AER特定数学模型来估计。不确定度表达指南在测量中的应用”。
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引用次数: 0
Implementation of the characteristic functions approach to measurement uncertainty evaluation 特征函数法在测量不确定度评定中的应用
IF 0.1 Pub Date : 2022-03-31 DOI: 10.24027/2306-7039.1.2022.258818
V. Witkovský
Probability distributions suitable for modelling measurements and determining their uncertainties are usually based on a standard approximation approach as described in GUM, i.e. the GUM uncertainty framework (GUF), using the law of uncertainty propagation (also known as the delta method) or a more accurate method based on the law of probability propagation calculated using the Monte Carlo method (MCM). As an alternative to GUF and MCM, we present a characteristic function approach (CFA), which is suitable for determining measurement uncertainties by using the exact probability distribution of a measured quantity in linear measurement models by inverting the associated characteristic function (CF), which is defined as a Fourier transform of the probability density function (PDF). In this paper, we present the current state of the MATLAB implementation of the characteristic function approach (the toolbox CharFunTool) and illustrate the use and applicability of the CFA for determining the distribution and uncertainty evaluation with a simple example. The proposed approach is compared with GUM, MCM and the kurtosis uncertainty method (KUM).
适用于建模测量并确定其不确定性的概率分布通常基于GUM中描述的标准近似方法,即GUM不确定性框架(GUF),使用不确定性传播定律(也称为delta方法)或基于使用蒙特卡罗方法(MCM)计算的概率传播定律的更准确的方法。作为GUF和MCM的替代方案,我们提出了一种特征函数方法(CFA),该方法适用于通过反转相关特征函数(CF)来使用线性测量模型中测量量的精确概率分布来确定测量不确定性,该特征函数被定义为概率密度函数(PDF)的傅立叶变换。在本文中,我们介绍了特征函数方法(工具箱CharFunTool)的MATLAB实现现状,并通过一个简单的例子说明了CFA在确定分布和不确定度评估中的使用和适用性。将所提出的方法与GUM、MCM和峰度不确定度方法(KUM)进行了比较。
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引用次数: 0
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Ukrainian Metrological Journal
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