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EN
Purpose: of the article is to study a four-parameter electromagnetic method for joint measurements of electrical resistivity k, relative permittivity εr, temperature t and density ρ of samples of acidic, alkaline and average effluents from a microbrewery based on a magnetic flux probe (MFP), which considers the influence of informative parameters of beer effluents on the components of the amplitude and phase signals of a multiparameter device. Design/methodology/approach: The implementation of the four-parameter method is carried out on the basis of the dependences G1 = f (A1) and G2 = f (A2) at two frequencies of the electromagnetic field f0 and f1 for acid, alkaline and average effluent and allows you to jointly determine the four parameters of effluent samples with the same converter in the same control area. The proposed method makes it possible to improve the accuracy of identifying effluent samples since the obtained multiparameter information makes it possible to determine the nature and properties of effluent samples using only one transducer with certain physical characteristics. The research results lead to the expansion of the technical capabilities of electromagnetic measurement methods, as well as to an increase in the metrological characteristics of electromagnetic transducers and an increase in the accuracy of measuring the parameters of effluent samples compared to reference methods and measuring instruments. Thus, the implementation of this approach contributes to the prediction and prevention of the reasons for the deviation of beer effluent samples from the specified indicators of environmental safety. Findings: The universal conversion functions MFP have been established, connecting the amplitude and phase components of the converter signals with the parameters k, εr, t and ρ of acidic, alkaline and average effluents. Based on the universal transformation functions G1 = f (A1) and G2 = f (A2), a four-parameter electromagnetic method for joint measurements of electrical resistivity k, relative permittivity εr, temperature t and density ρ of acidic, alkaline, and average effluents from breweries has been developed. When conducting research at two close frequencies of the electromagnetic field f0 = 20.3 MHz and f1 = 22 MHz, algorithms were obtained for measuring and calculating procedures for determining k, εr, t and ρ for samples of acidic, alkaline and average effluents from the brewing industry. Research limitations/implications: Research perspectives consist in the creation of automated systems for multiparameter measuring control of the physicochemical characteristics of acidic and alkaline effluent from food and processing industries based on the immersed electromagnetic transducer. Based on the data obtained using informative methods to measure the parameters of effluent samples, an integrated method for treating beer effluents of various compositions will be proposed. At the same time, the scheme of the integrated treatment method should include a filter that provides the introduction of a magnetic fluid and a separation device that allows us to remove a fraction, including pollution in itself. Practical implications: Is that the proposed four-parameter electromagnetic method makes it possible to determine to what composition the controlled samples of wastewater should be attributed (acidic or alkaline). It, in turn, makes it possible to choose a rational method for treating beer effluents and to prevent the reasons for the deviation of effluent samples from the environmental safety indicators set by the standards. Originality/value: of the article is the research related to the expansion of the functional and technical capabilities of the electromagnetic two-frequency transducer MFP through the implementation of a four-parameter electromagnetic method of joint measurements of electrical resistivity k, relative permittivity εr, temperature t and density ρ of acidic, alkaline and average effluents from breweries. The universal transformation functions G1 = f (A1) and G2 = f (A2) found in the work at two close magnetic field frequencies, f0 = 20.3 MHz and f1 = 22 MHz, make it possible to control four physicochemical parameters of acidic, alkaline and average wastewater at the same time by the same MFP. An algorithm has been developed for determining the signal components of a two-frequency thermal MFP, the ranges of which correspond to the ranges of changes in electrical resistivity k, relative permittivity εr, temperature t and density ρ of acidic, alkaline, and average brewery effluents. The basic relations that describe the two-frequency four-parameter electromagnetic method of joint measurements of the physicochemical parameters of acidic, alkaline and averaged beer effluents have been obtained.
EN
Based on the most significant features of the angular velocity dynamic measurements selected by the authors, the main phases of measuring information transformation were established, which allowed to obtain new mathematical models in the form of transformation function, equations for estimating quantization errors, analytical dependences for measuring range that are initial for modeling physical processes occurring in such digital measuring channels with microprocessor control. The process of converting an analog quantity into a binary code is analytically described, an equation for estimating the absolute and relative quantization error is obtained and a measurement range is established, which provides a normalized value of relative quantization error for angular velocity measuring channels with encoder. For the first time, the equation of sampling error was obtained, and it was proved that the limiting factor of the angular velocity measurements upper limit is not only the normalized value of quantization error, as previously thought, but also the value of sampling frequency fD. Therefore, to expand the measurement range (by increasing the upper limit of measurement), it is proposed not only to increase the speed of analog-to-digital conversion hardware, but also to reduce the execution time of software drivers for transmitting measurement information to RAM of microprocessor system. For this purpose, the analytical dependences of estimating the upper limit of measurement based on the value of the sampling step for different modes of measurement information transmission are obtained. The practical implementation of the software mode measurement information transmission is characterized by a minimum of hardware costs and maximum execution time of the software driver, which explains its low speed, and therefore provides a minimum value of the upper limit measurement. In the interrupt mode, the upper limit value of the angular velocity measurement is higher than in the program mode due to the reduction of the software driver’s execution time (tFl = 0). The maximum value of the angular velocity measurements upper limit can be achieved using the measurement information transmission in the mode of direct access to memory (DMA) by providing maximum speed in this mode (tFl = 0, tDR = 0). In addition, the application of the results obtained in the work allows at the design stage (during physical and mathematical modeling) to assess the basic metrological characteristics of the measuring channel, aimed at reducing the development time and debugging of hardware, software, and standardization of their metrological characteristics.
PL
Na podstawie najistotniejszych cech dynamicznych pomiarów prędkości kątowej ustalono główne fazy transformacji informacji pomiarowej, co pozwoliło na uzyskanie nowych modeli matematycznych w postaci funkcji transformacji, równań do szacowania błędów kwantyzacji, analitycznych zależności dla zakresu pomiarów, które są podstawą do modelowania procesów fizycznych zachodzących w takich cyfrowych kanałach pomiarowych ze sterowaniem mikroprocesorowym. analitycznie opisano proces konwersji wartości analogowej na kod binarny Po raz pierwszy otrzymano równanie błędu próbkowania i udowodniono, że czynnikiem ograniczającym górną granicę pomiarów prędkości kątowej jest nie tylko znormalizowana wartość błędu kwantyzacji, jak sądzono wcześniej, ale także wartość częstotliwości próbkowania fD. Dlatego w celu rozszerzenia zakresu pomiarowego (poprzez zwiększenie górnej granicy pomiaru) proponuje się nie tylko zwiększenie szybkości działania sprzętu do konwersji analogowo-cyfrowej, ale również skrócenie czasu wykonania sterowników programowych do transmisji informacji pomiarowej do pamięci RAM systemu mikroprocesorowego. w tym celu uzyskano analityczne zależności górnej granicy pomiaru od wartości kroku próbkowania dla różnych trybów transmisji informacji pomiarowej. W trybie przerwania górna wartość graniczna pomiaru prędkości kątowej jest wyższa niż w trybie programu ze względu na skrócenie czasu wykonania sterownika programowego (tFl = 0). Maksymalną wartość górnej granicy pomiaru prędkości kątowej można uzyskać przesyłając informacje pomiarowe w trybie bezpośredniego dostępu do pamięci (DMA) zapewniając maksymalną prędkość w tym trybie (tFl = 0, tDR = 0). Ponadto zastosowanie uzyskanych w pracy wyników pozwala na etapie projektowania (podczas modelowania fizycznego i matematycznego) na ocenę głównych cech metrologicznych kanału pomiarowego, co ma na celu skrócenie czasu rozwoju i debugowania sprzętu, oprogramowania oraz standaryzacji ich cech metrologicznych.
EN
A mathematical model of the error of the navigational accelerometer caused by the nonlinearity of its metrological model, taking into account the influence of vibration, was developed. The method of experimental estimation of the vibration error based on the developed model was proposed. The main idea of the method is to evaluate parameters of the developed model during static tests in the terrestrial gravitational field and to calculate error according to the specific vibration characteristics – the amplitude in the case of harmonic vibration profile or the frequency band and the power spectral density in the case of random vibration. The effectiveness of the proposed method has been tested using three types of navigation accelerometers in comparison with the results of classical dynamic testing in various vibration conditions (harmonic, white noise, etc.).
PL
Opracowano model matematyczny błędu akcelerometru nawigacyjnego spowodowany nieliniowością jego modelu metrologicznego, uwzględniający wpływ wibracji. Zaproponowano metodę eksperymentalnego oszacowania błędu wibracji w oparciu o opracowany model. Główną ideą metody jest ocena parametrów opracowanego modelu podczas prób statycznych w ziemskim polu grawitacyjnym i obliczenie błędu zgodnie ze specyficznymi cechami drgań – amplitudą w przypadku profilu drgań harmonicznych lub pasma częstotliwości i spektrum mocy gęstość w przypadku drgań losowych. Skuteczność proponowanej metody została przetestowana przy użyciu trzech rodzajów akcelerometrów nawigacyjnych w porównaniu z wynikami klasycznych testów dynamicznych w różnych warunkach drgań (harmoniczne, biały szum itp.).
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