236 research outputs found

    Dynamic process modeling and hybrid intelligent control of ethylene copolymerization in gas phase catalytic fluidized bed reactors

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    BACKGROUND: Polyethylene (PE) is the most extensively consumed plastic in the world, and gas phaseā€based processes are widely used for its production owing to their flexibility. The sole type of reactor that can produce PE in the gas phase is the fluidized bed reactor (FBR), and effective modeling and control of FBRs are of great importance for design, scaleā€up and simulation studies. This paper discusses these issues and suggests a novel advanced control structure for these systems. RESULTS: A unified process modeling and control approach is introduced for ethylene copolymerization in FBRs. The results show that our previously developed twoā€phase model is well confirmed using real industrial data and is exact enough to further develop different control strategies. It is also shown that, owing to high system nonlinearities, conventional controllers are not suitable for this system, so advanced controllers are needed. Melt flow index (MFI) and reactor temperature are chosen as vital variables, and intelligent controllers were able to sufficiently control them. Performance indicators show that advanced controllers have a superior performance in comparison with conventional controllers. CONCLUSION: Based on control performance indicators, the adaptive neuroā€fuzzy inference system (ANFIS) controller for MFI control and the hybrid ANFISā€“proportionalā€integralā€differential (PID) controller for temperature control perform better regarding disturbance rejection and setpoint tracking in comparison with conventional controllers. Ā© 2019 Society of Chemical Industr

    Application of AI in Chemical Engineering

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    A major shortcoming of traditional strategies is the fact that solving chemical engineering problems due to the highly nonlinear behavior of chemical processes is often impossible or very difficult. Today, artificial intelligence (AI) techniques are becoming useful due to simple implementation, easy designing, generality, robustness and flexibility. The AI includes various branches, namely, artificial neural network, fuzzy logic, genetic algorithm, expert systems and hybrid systems. They have been widely used in various applications of the chemical engineering field including modeling, process control, classification, fault detection and diagnosis. In this chapter, the capabilities of AI are investigated in various chemical engineering fields

    Preparing, Characterizing, On-Line Digital Image Processing of Residence Time Distribution and Modeling of Mechanical Properties of Nanocomposite Foams

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    The objectives of this research were to prepare, characterize and to study the effects of organoclay and extrusion variables on the physical, mechanical, structural, thermal and functional properties of tapioca starch (TS)/poly(lactic acid) (PLA) nanocomposite foams. On-line digital imaging processing was used to determine residence time distribution (RTD). Adaptive neuro-fuzzy inference system (ANFIS) was used to model the mechanical properties of nanocomposite foams. Four different organoclays (Cloisite 10A, 25A, 93A, 15A) were used to produce nanocomposite foams by melt-intercalation. The properties were characterized using Xray diffraction, scanning electron microscopy, differential scanning calorimetric, and Instron universal testing machine. The properties were influenced significantly with the addition of different organoclays. TS/PLA/Cloisite 30B nanocomposite foams, with four clay contents of 1, 3, 5, 7 wt%, were prepared by a melt-intercalation method. Among the four nanocomposites, 3 wt% clay content produced significantly different properties. Screw speed, screw configuration, die nozzle diameter and moisture content were varied to determine their effects on organoclay intercalation. These extrusion variables had significant effects on the properties of TS/PLA /Cloisite 10A nanocomposite foams due to the intercalation of organoclay. Multiple inputs single output (MISO) models were developed to predict mechanical properties of nanocomposite foams. Four individual ANFIS models were developed. All models preformed well with R2 values \u3e 0.71 and had very low root mean squared errors (RMSE). Effects of screw configurations and barrel temperatures on the RTD and MISO models were developed to predict mechanical properties. The influence of the extrusion variables had a significant effect on the mean residence time (MTR). On-line digital image processing (DIP) technique was developed to measure the RTD as compared to the colorimeter method. R2 showed a correlation of 0.88 of a* values from both methods. The influence of screw configuration and temperature on RTD were analyzed by the MRT and variance for both methods. Mixing screws and lower temperature resulted in higher MRT and variance for both methods

    Online Intelligent Controllers for an Enzyme Recovery Plant: Design Methodology and Performance

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    This paper focuses on the development of intelligent controllers for use in a process of enzyme recovery from pineapple rind. The proteolytic enzyme bromelain (EC 3.4.22.4) is precipitated with alcohol at low temperature in a fed-batch jacketed tank. Temperature control is crucial to avoid irreversible protein denaturation. Fuzzy or neural controllers offer a way of implementing solutions that cover dynamic and nonlinear processes. The design methodology and a comparative study on the performance of fuzzy-PI, neurofuzzy, and neural network intelligent controllers are presented. To tune the fuzzy PI Mamdani controller, various universes of discourse, rule bases, and membership function support sets were tested. A neurofuzzy inference system (ANFIS), based on Takagi-Sugeno rules, and a model predictive controller, based on neural modeling, were developed and tested as well. Using a Fieldbus network architecture, a coolant variable speed pump was driven by the controllers. The experimental results show the effectiveness of fuzzy controllers in comparison to the neural predictive control. The fuzzy PI controller exhibited a reduced error parameter (ITAE), lower power consumption, and better recovery of enzyme activity

    Real-time Condition Monitoring and Asset Management of Oil- Immersed Power Transformers

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    This research pioneers a comprehensive asset management methodology utilizing solely online dissolved gas analysis. Integrating advanced AI algorithms, the model was trained and rigorously tested on real-world data, demonstrating its efficacy in optimizing asset performance and reliability

    Reproducing of the humidity curve of power transformers oil using adaptive neuro-fuzzy systems

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    Introduction. One of the parameters that determine the state of the insulation of power transformers is the degree of moisture content of cellulose insulation and transformer oil. Modern systems of continuous monitoring of transformer equipment have the ability to accumulate data that can be used to reproduce the dynamics of moisture content in insulation. The purpose of the work is to reproduce the curve of the of humidity of transformer oil based on the results of measuring the temperature of the upper and lower layers of oil without the need for direct measurement of moisture content by special devices. Methodology. The construction of a fuzzy neural network is carried out using networks based on adaptive neuro-fuzzy system ANFIS. The network generated using the Grid Partition algorithm without clustering and Subtractive Clustering. Results. The paper presents a comparative analysis of fuzzy neural networks of various architectures in terms of increasing the accuracy of reproducing the moisture content of transformer oil. For training and testing fuzzy neural networks, the results of continuous monitoring of the temperature of the upper and lower layers of transformer oil during two months of operation used. Considered twenty four variants of the architecture of ANFIS models, which differ in the membership functions, the number of terms of each input quantity, and the number of training cycles. The results of using the constructed fuzzy neural networks for reproducing the dynamics of moisture content of transformer oil during a month of operation of the transformer are presented. The reproducing accuracy was assessed using the root mean square error and the coefficient of determination. The test results indicate the sufficient adequacy of the proposed models. Consequently, the RMSE value for the network constructed using Grid Partition method was 0.49, and for the network built using the Subtractive Clustering method ā€“ 0.40509.Š’ŃŃ‚ŃƒŠæ. ŠžŠ“Š½ŠøŠ¼ Š· ŠæŠ°Ń€Š°Š¼ŠµŃ‚ріŠ², щŠ¾ Š²ŠøŠ·Š½Š°Ń‡Š°ŃŽŃ‚ŃŒ стŠ°Š½ іŠ·Š¾Š»ŃŃ†Ń–Ń— сŠøŠ»Š¾Š²Šøх трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Ń–Š², є стуŠæіŠ½ŃŒ Š²Š¾Š»Š¾Š³Š¾ŃŃ‚Ń– цŠµŠ»ŃŽŠ»Š¾Š·Š½Š¾Ń— іŠ·Š¾Š»ŃŃ†Ń–Ń— тŠ° трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Š½Š¾Š³Š¾ Š¼Š°ŃŠ»Š°. Š”учŠ°ŃŠ½Ń– сŠøстŠµŠ¼Šø Š½ŠµŠæŠµŃ€ŠµŃ€Š²Š½Š¾Š³Š¾ ŠŗŠ¾Š½Ń‚Ń€Š¾Š»ŃŽ трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Š½Š¾Š³Š¾ Š¾Š±Š»Š°Š“Š½Š°Š½Š½Ń Š¼Š°ŃŽŃ‚ŃŒ Š¼Š¾Š¶Š»ŠøŠ²Ń–ŃŃ‚ŃŒ Š½Š°ŠŗŠ¾ŠæŠøчуŠ²Š°Ń‚Šø Š“Š°Š½Ń–, яŠŗі Š¼Š¾Š¶ŃƒŃ‚ŃŒ Š±ŃƒŃ‚Šø Š²ŠøŠŗŠ¾Ń€ŠøстŠ°Š½Ń– Š“Š»Ń Š²Ń–Š“тŠ²Š¾Ń€ŃŽŠ²Š°Š½Š½Ń Š“ŠøŠ½Š°Š¼Ń–ŠŗŠø Š²Š¾Š»Š¾Š³Š¾ŃŃ‚Ń– іŠ·Š¾Š»ŃŃ†Ń–Ń— ŠæрŠø Š·Š¼Ń–Š½ŠµŠ½Š½Ń– тŠµŠæŠ»Š¾Š²Š¾Š³Š¾ рŠµŠ¶ŠøŠ¼Ńƒ трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Š°. ŠœŠµŃ‚Š¾ŃŽ рŠ¾Š±Š¾Ń‚Šø є Š²Ń–Š“тŠ²Š¾Ń€ŠµŠ½Š½Ń ŠŗрŠøŠ²Š¾Ń— Š²Š¾Š»Š¾Š³Š¾ŃŃ‚Ń– трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Š½Š¾Š³Š¾ Š¼Š°ŃŠ»Š° Š·Š° рŠµŠ·ŃƒŠ»ŃŒŃ‚Š°Ń‚Š°Š¼Šø Š²ŠøŠ¼Ń–рюŠ²Š°Š½Š½Ń тŠµŠ¼ŠæŠµŃ€Š°Ń‚ŃƒŃ€Šø Š²ŠµŃ€Ń…Š½Ń–Ń… і Š½ŠøŠ¶Š½Ń–Ń… шŠ°Ń€Ń–Š² Š¼Š°ŃŠ»Š° Š±ŠµŠ· Š½ŠµŠ¾Š±Ń…Ń–Š“Š½Š¾ŃŃ‚Ń– ŠæряŠ¼Š¾Š³Š¾ Š²ŠøŠ¼Ń–рюŠ²Š°Š½Š½Ń Š²Š¾Š»Š¾Š³Š¾Š²Š¼Ń–ŃŃ‚Ńƒ сŠæŠµŃ†Ń–Š°Š»ŃŒŠ½ŠøŠ¼Šø ŠæрŠøстрŠ¾ŃŠ¼Šø. ŠœŠµŃ‚Š¾Š“Š¾Š»Š¾Š³Ń–я. ŠŸŠ¾Š±ŃƒŠ“Š¾Š²Š° Š½ŠµŃ‡Ń–Ń‚ŠŗŠ¾Ń— Š½ŠµŠ¹Ń€Š¾Š½Š½Š¾Ń— Š¼ŠµŃ€ŠµŠ¶Ń– Š·Š“іŠ¹ŃŠ½ŃŽŃ”Ń‚ŃŒŃŃ іŠ· Š²ŠøŠŗŠ¾Ń€ŠøстŠ°Š½Š½ŃŠ¼ Š°Š“Š°ŠæтŠøŠ²Š½Šøх Š½ŠµŠ¹Ń€Š¾-Š½ŠµŃ‡Ń–Ń‚ŠŗŠøх сŠøстŠµŠ¼ Š²ŠøŠ²Š¾Š“у ANFIS. Š“ŠµŠ½ŠµŃ€ŃƒŠ²Š°Š½Š½Ń Š¼Š¾Š“ŠµŠ»Ń– Š²ŠøŠŗŠ¾Š½Š°Š½Š¾ Š·Š° Š¼ŠµŃ‚Š¾Š“Š°Š¼Šø Grid Partition тŠ° Subtractive Clustering. Š ŠµŠ·ŃƒŠ»ŃŒŃ‚Š°Ń‚Šø. ŠŠ°Š²ŠµŠ“ŠµŠ½Š¾ ŠæŠ¾Ń€Ń–Š²Š½ŃŠ»ŃŒŠ½ŠøŠ¹ Š°Š½Š°Š»Ń–Š· Š¼Š¾Š“ŠµŠ»ŠµŠ¹ ANFIS ріŠ·Š½Š¾Ń— Š°Ń€Ń…Ń–Ń‚ŠµŠŗтурŠø Š· тŠ¾Ń‡ŠŗŠø Š·Š¾Ń€Ńƒ ŠæіŠ“Š²ŠøщŠµŠ½Š½Ń тŠ¾Ń‡Š½Š¾ŃŃ‚Ń– Š²Ń–Š“тŠ²Š¾Ń€ŠµŠ½Š½Ń ŠŗрŠøŠ²Š¾Ń— Š²Š¾Š»Š¾Š³Š¾Š²Š¼Ń–ŃŃ‚Ńƒ трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Š½Š¾Š³Š¾ Š¼Š°ŃŠ»Š° Š·Š° рŠµŠ·ŃƒŠ»ŃŒŃ‚Š°Ń‚Š°Š¼Šø ŠŗŠ¾Š½Ń‚Ń€Š¾Š»ŃŽ тŠµŠ¼ŠæŠµŃ€Š°Ń‚ŃƒŃ€Šø Š¹Š¾Š³Š¾ Š²ŠµŃ€Ń…Š½Ń–Ń… тŠ° Š½ŠøŠ¶Š½Ń–Ń… шŠ°Ń€Ń–Š². ŠŸŃ€Šø Š½Š°Š²Ń‡Š°Š½Š½Ń– тŠ° тŠµŃŃ‚ŃƒŠ²Š°Š½Š½Ń– Š¼Š¾Š“ŠµŠ»ŠµŠ¹ ANFIS Š²ŠøŠŗŠ¾Ń€ŠøстŠ¾Š²ŃƒŠ²Š°Š»Šøсь рŠµŠ·ŃƒŠ»ŃŒŃ‚Š°Ń‚Šø Š½ŠµŠæŠµŃ€ŠµŃ€Š²Š½Š¾Š³Š¾ ŠŗŠ¾Š½Ń‚Ń€Š¾Š»ŃŽ трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Š½Š¾Š³Š¾ Š¼Š°ŃŠ»Š° ŠæрŠ¾Ń‚яŠ³Š¾Š¼ Š“Š²Š¾Ń… Š¼Ń–ŃŃŃ†Ń–Š² ŠµŠŗсŠæŠ»ŃƒŠ°Ń‚Š°Ń†Ń–Ń—. Š Š¾Š·Š³Š»ŃŠ½ŃƒŃ‚Š¾ Š“Š²Š°Š“цять чŠ¾Ń‚ŠøрŠø Š²Š°Ń€Ń–Š°Š½Ń‚Šø Š°Ń€Ń…Ń–Ń‚ŠµŠŗтурŠø Š¼Š¾Š“ŠµŠ»ŠµŠ¹ ANFIS, яŠŗі Š²Ń–Š“ріŠ·Š½ŃŃŽŃ‚ŃŒŃŃ фуŠ½ŠŗціяŠ¼Šø ŠæрŠøŠ½Š°Š»ŠµŠ¶Š½Š¾ŃŃ‚Ń–, ŠŗіŠ»ŃŒŠŗістю тŠµŃ€Š¼Ń–Š² ŠŗŠ¾Š¶Š½Š¾Ń— Š²Ń…Ń–Š“Š½Š¾Ń— Š²ŠµŠ»ŠøчŠøŠ½Šø тŠ° ŠŗіŠ»ŃŒŠŗістю цŠøŠŗŠ»Ń–Š² Š½Š°Š²Ń‡Š°Š½Š½Ń. ŠŸŃ€ŠµŠ“стŠ°Š²Š»ŠµŠ½Ń– рŠµŠ·ŃƒŠ»ŃŒŃ‚Š°Ń‚Šø Š²ŠøŠŗŠ¾Ń€ŠøстŠ°Š½Š½Ń ŠæŠ¾Š±ŃƒŠ“Š¾Š²Š°Š½Šøх Š¼Š¾Š“ŠµŠ»ŠµŠ¹ ANFIS Š“Š»Ń Š²Ń–Š“тŠ²Š¾Ń€ŠµŠ½Š½Ń ŠŗрŠøŠ²Š¾Ń— Š“ŠøŠ½Š°Š¼Ń–ŠŗŠø Š²Š¾Š»Š¾Š³Š¾ŃŃ‚Ń– Š¼Š°ŃŠ»Š° ŠæрŠ¾Ń‚яŠ³Š¾Š¼ Š¼Ń–ŃŃŃ†Ń ŠµŠŗсŠæŠ»ŃƒŠ°Ń‚Š°Ń†Ń–Ń— трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Š°. Š¢Š¾Ń‡Š½Ń–ŃŃ‚ŃŒ Š²Ń–Š“тŠ²Š¾Ń€ŠµŠ½Š½Ń ŠŗрŠøŠ²Š¾Ń— Š²Š¾Š»Š¾Š³Š¾ŃŃ‚Ń– Š¼Š°ŃŠ»Š° Š¾Ń†Ń–Š½ŃŽŠ²Š°Š»Š°ŃŃŒ шŠ»ŃŃ…Š¾Š¼ рŠ¾Š·Ń€Š°Ń…ŃƒŠ½Šŗу ŠŗŠ¾Ń€ŠµŠ½ŠµŠ²Š¾Ń— сŠµŃ€ŠµŠ“Š½ŃŒŠ¾ŠŗŠ²Š°Š“рŠ°Ń‚ŠøчŠ½Š¾Ń— ŠæŠ¾Š¼ŠøŠ»ŠŗŠø тŠ° ŠŗŠ¾ŠµŃ„іцієŠ½Ń‚Š° Š“ŠµŃ‚ŠµŃ€Š¼Ń–Š½Š°Ń†Ń–Ń—. Š ŠµŠ·ŃƒŠ»ŃŒŃ‚Š°Ń‚Šø тŠµŃŃ‚ŃƒŠ²Š°Š½ŃŒ сŠ²Ń–Š“чŠ°Ń‚ŃŒ ŠæрŠ¾ Š“Š¾ŃŃ‚Š°Ń‚Š½ŃŽ Š°Š“ŠµŠŗŠ²Š°Ń‚Š½Ń–ŃŃ‚ŃŒ Š·Š°ŠæрŠ¾ŠæŠ¾Š½Š¾Š²Š°Š½Šøх Š¼Š¾Š“ŠµŠ»ŠµŠ¹. Š—Š½Š°Ń‡ŠµŠ½Š½Ń ŠŗŠ¾Ń€ŠµŠ½ŠµŠ²Š¾Ń— сŠµŃ€ŠµŠ“Š½ŃŒŠ¾ŠŗŠ²Š°Š“рŠ°Ń‚ŠøчŠ½Š¾Ń— ŠæŠ¾Š¼ŠøŠ»ŠŗŠø Š“Š»Ń Š¼Š¾Š“ŠµŠ»Ń–, ŠæŠ¾Š±ŃƒŠ“Š¾Š²Š°Š½Š¾Ń— іŠ· Š²ŠøŠŗŠ¾Ń€ŠøстŠ°Š½Š½ŃŠ¼ Š¼ŠµŃ‚Š¾Š“у Grid Partition, стŠ°Š½Š¾Š²ŠøŠ»Š¾ 0,49, Š° Š“Š»Ń Š¼Š¾Š“ŠµŠ»Ń–, ŠæŠ¾Š±ŃƒŠ“Š¾Š²Š°Š½Š¾Ń— Š· Š²ŠøŠŗŠ¾Ń€ŠøстŠ°Š½Š½ŃŠ¼ Š¼ŠµŃ‚Š¾Š“у Subtractive Clustering ā€“ 0,40509

    Reproducing of the humidity curve of power transformers oil using adaptive neuro-fuzzy systems

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    Introduction. One of the parameters that determine the state of the insulation of power transformers is the degree of moisture content of cellulose insulation and transformer oil. Modern systems of continuous monitoring of transformer equipment have the ability to accumulate data that can be used to reproduce the dynamics of moisture content in insulation. The purpose of the work is to reproduce the curve of the of humidity of transformer oil based on the results of measuring the temperature of the upper and lower layers of oil without the need for direct measurement of moisture content by special devices. Methodology. The construction of a fuzzy neural network is carried out using networks based on adaptive neuro-fuzzy system ANFIS. The network generated using the Grid Partition algorithm without clustering and Subtractive Clustering. Results. The paper presents a comparative analysis of fuzzy neural networks of various architectures in terms of increasing the accuracy of reproducing the moisture content of transformer oil. For training and testing fuzzy neural networks, the results of continuous monitoring of the temperature of the upper and lower layers of transformer oil during two months of operation used. Considered twenty four variants of the architecture of ANFIS models, which differ in the membership functions, the number of terms of each input quantity, and the number of training cycles. The results of using the constructed fuzzy neural networks for reproducing the dynamics of moisture content of transformer oil during a month of operation of the transformer are presented. The reproducing accuracy was assessed using the root mean square error and the coefficient of determination. The test results indicate the sufficient adequacy of the proposed models. Consequently, the RMSE value for the network constructed using Grid Partition method was 0.49, and for the network built using the Subtractive Clustering method ā€“ 0.40509.Š’ŃŃ‚ŃƒŠæ. ŠžŠ“Š½ŠøŠ¼ Š· ŠæŠ°Ń€Š°Š¼ŠµŃ‚ріŠ², щŠ¾ Š²ŠøŠ·Š½Š°Ń‡Š°ŃŽŃ‚ŃŒ стŠ°Š½ іŠ·Š¾Š»ŃŃ†Ń–Ń— сŠøŠ»Š¾Š²Šøх трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Ń–Š², є стуŠæіŠ½ŃŒ Š²Š¾Š»Š¾Š³Š¾ŃŃ‚Ń– цŠµŠ»ŃŽŠ»Š¾Š·Š½Š¾Ń— іŠ·Š¾Š»ŃŃ†Ń–Ń— тŠ° трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Š½Š¾Š³Š¾ Š¼Š°ŃŠ»Š°. Š”учŠ°ŃŠ½Ń– сŠøстŠµŠ¼Šø Š½ŠµŠæŠµŃ€ŠµŃ€Š²Š½Š¾Š³Š¾ ŠŗŠ¾Š½Ń‚Ń€Š¾Š»ŃŽ трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Š½Š¾Š³Š¾ Š¾Š±Š»Š°Š“Š½Š°Š½Š½Ń Š¼Š°ŃŽŃ‚ŃŒ Š¼Š¾Š¶Š»ŠøŠ²Ń–ŃŃ‚ŃŒ Š½Š°ŠŗŠ¾ŠæŠøчуŠ²Š°Ń‚Šø Š“Š°Š½Ń–, яŠŗі Š¼Š¾Š¶ŃƒŃ‚ŃŒ Š±ŃƒŃ‚Šø Š²ŠøŠŗŠ¾Ń€ŠøстŠ°Š½Ń– Š“Š»Ń Š²Ń–Š“тŠ²Š¾Ń€ŃŽŠ²Š°Š½Š½Ń Š“ŠøŠ½Š°Š¼Ń–ŠŗŠø Š²Š¾Š»Š¾Š³Š¾ŃŃ‚Ń– іŠ·Š¾Š»ŃŃ†Ń–Ń— ŠæрŠø Š·Š¼Ń–Š½ŠµŠ½Š½Ń– тŠµŠæŠ»Š¾Š²Š¾Š³Š¾ рŠµŠ¶ŠøŠ¼Ńƒ трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Š°. ŠœŠµŃ‚Š¾ŃŽ рŠ¾Š±Š¾Ń‚Šø є Š²Ń–Š“тŠ²Š¾Ń€ŠµŠ½Š½Ń ŠŗрŠøŠ²Š¾Ń— Š²Š¾Š»Š¾Š³Š¾ŃŃ‚Ń– трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Š½Š¾Š³Š¾ Š¼Š°ŃŠ»Š° Š·Š° рŠµŠ·ŃƒŠ»ŃŒŃ‚Š°Ń‚Š°Š¼Šø Š²ŠøŠ¼Ń–рюŠ²Š°Š½Š½Ń тŠµŠ¼ŠæŠµŃ€Š°Ń‚ŃƒŃ€Šø Š²ŠµŃ€Ń…Š½Ń–Ń… і Š½ŠøŠ¶Š½Ń–Ń… шŠ°Ń€Ń–Š² Š¼Š°ŃŠ»Š° Š±ŠµŠ· Š½ŠµŠ¾Š±Ń…Ń–Š“Š½Š¾ŃŃ‚Ń– ŠæряŠ¼Š¾Š³Š¾ Š²ŠøŠ¼Ń–рюŠ²Š°Š½Š½Ń Š²Š¾Š»Š¾Š³Š¾Š²Š¼Ń–ŃŃ‚Ńƒ сŠæŠµŃ†Ń–Š°Š»ŃŒŠ½ŠøŠ¼Šø ŠæрŠøстрŠ¾ŃŠ¼Šø. ŠœŠµŃ‚Š¾Š“Š¾Š»Š¾Š³Ń–я. ŠŸŠ¾Š±ŃƒŠ“Š¾Š²Š° Š½ŠµŃ‡Ń–Ń‚ŠŗŠ¾Ń— Š½ŠµŠ¹Ń€Š¾Š½Š½Š¾Ń— Š¼ŠµŃ€ŠµŠ¶Ń– Š·Š“іŠ¹ŃŠ½ŃŽŃ”Ń‚ŃŒŃŃ іŠ· Š²ŠøŠŗŠ¾Ń€ŠøстŠ°Š½Š½ŃŠ¼ Š°Š“Š°ŠæтŠøŠ²Š½Šøх Š½ŠµŠ¹Ń€Š¾-Š½ŠµŃ‡Ń–Ń‚ŠŗŠøх сŠøстŠµŠ¼ Š²ŠøŠ²Š¾Š“у ANFIS. Š“ŠµŠ½ŠµŃ€ŃƒŠ²Š°Š½Š½Ń Š¼Š¾Š“ŠµŠ»Ń– Š²ŠøŠŗŠ¾Š½Š°Š½Š¾ Š·Š° Š¼ŠµŃ‚Š¾Š“Š°Š¼Šø Grid Partition тŠ° Subtractive Clustering. Š ŠµŠ·ŃƒŠ»ŃŒŃ‚Š°Ń‚Šø. ŠŠ°Š²ŠµŠ“ŠµŠ½Š¾ ŠæŠ¾Ń€Ń–Š²Š½ŃŠ»ŃŒŠ½ŠøŠ¹ Š°Š½Š°Š»Ń–Š· Š¼Š¾Š“ŠµŠ»ŠµŠ¹ ANFIS ріŠ·Š½Š¾Ń— Š°Ń€Ń…Ń–Ń‚ŠµŠŗтурŠø Š· тŠ¾Ń‡ŠŗŠø Š·Š¾Ń€Ńƒ ŠæіŠ“Š²ŠøщŠµŠ½Š½Ń тŠ¾Ń‡Š½Š¾ŃŃ‚Ń– Š²Ń–Š“тŠ²Š¾Ń€ŠµŠ½Š½Ń ŠŗрŠøŠ²Š¾Ń— Š²Š¾Š»Š¾Š³Š¾Š²Š¼Ń–ŃŃ‚Ńƒ трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Š½Š¾Š³Š¾ Š¼Š°ŃŠ»Š° Š·Š° рŠµŠ·ŃƒŠ»ŃŒŃ‚Š°Ń‚Š°Š¼Šø ŠŗŠ¾Š½Ń‚Ń€Š¾Š»ŃŽ тŠµŠ¼ŠæŠµŃ€Š°Ń‚ŃƒŃ€Šø Š¹Š¾Š³Š¾ Š²ŠµŃ€Ń…Š½Ń–Ń… тŠ° Š½ŠøŠ¶Š½Ń–Ń… шŠ°Ń€Ń–Š². ŠŸŃ€Šø Š½Š°Š²Ń‡Š°Š½Š½Ń– тŠ° тŠµŃŃ‚ŃƒŠ²Š°Š½Š½Ń– Š¼Š¾Š“ŠµŠ»ŠµŠ¹ ANFIS Š²ŠøŠŗŠ¾Ń€ŠøстŠ¾Š²ŃƒŠ²Š°Š»Šøсь рŠµŠ·ŃƒŠ»ŃŒŃ‚Š°Ń‚Šø Š½ŠµŠæŠµŃ€ŠµŃ€Š²Š½Š¾Š³Š¾ ŠŗŠ¾Š½Ń‚Ń€Š¾Š»ŃŽ трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Š½Š¾Š³Š¾ Š¼Š°ŃŠ»Š° ŠæрŠ¾Ń‚яŠ³Š¾Š¼ Š“Š²Š¾Ń… Š¼Ń–ŃŃŃ†Ń–Š² ŠµŠŗсŠæŠ»ŃƒŠ°Ń‚Š°Ń†Ń–Ń—. Š Š¾Š·Š³Š»ŃŠ½ŃƒŃ‚Š¾ Š“Š²Š°Š“цять чŠ¾Ń‚ŠøрŠø Š²Š°Ń€Ń–Š°Š½Ń‚Šø Š°Ń€Ń…Ń–Ń‚ŠµŠŗтурŠø Š¼Š¾Š“ŠµŠ»ŠµŠ¹ ANFIS, яŠŗі Š²Ń–Š“ріŠ·Š½ŃŃŽŃ‚ŃŒŃŃ фуŠ½ŠŗціяŠ¼Šø ŠæрŠøŠ½Š°Š»ŠµŠ¶Š½Š¾ŃŃ‚Ń–, ŠŗіŠ»ŃŒŠŗістю тŠµŃ€Š¼Ń–Š² ŠŗŠ¾Š¶Š½Š¾Ń— Š²Ń…Ń–Š“Š½Š¾Ń— Š²ŠµŠ»ŠøчŠøŠ½Šø тŠ° ŠŗіŠ»ŃŒŠŗістю цŠøŠŗŠ»Ń–Š² Š½Š°Š²Ń‡Š°Š½Š½Ń. ŠŸŃ€ŠµŠ“стŠ°Š²Š»ŠµŠ½Ń– рŠµŠ·ŃƒŠ»ŃŒŃ‚Š°Ń‚Šø Š²ŠøŠŗŠ¾Ń€ŠøстŠ°Š½Š½Ń ŠæŠ¾Š±ŃƒŠ“Š¾Š²Š°Š½Šøх Š¼Š¾Š“ŠµŠ»ŠµŠ¹ ANFIS Š“Š»Ń Š²Ń–Š“тŠ²Š¾Ń€ŠµŠ½Š½Ń ŠŗрŠøŠ²Š¾Ń— Š“ŠøŠ½Š°Š¼Ń–ŠŗŠø Š²Š¾Š»Š¾Š³Š¾ŃŃ‚Ń– Š¼Š°ŃŠ»Š° ŠæрŠ¾Ń‚яŠ³Š¾Š¼ Š¼Ń–ŃŃŃ†Ń ŠµŠŗсŠæŠ»ŃƒŠ°Ń‚Š°Ń†Ń–Ń— трŠ°Š½ŃŃ„Š¾Ń€Š¼Š°Ń‚Š¾Ń€Š°. Š¢Š¾Ń‡Š½Ń–ŃŃ‚ŃŒ Š²Ń–Š“тŠ²Š¾Ń€ŠµŠ½Š½Ń ŠŗрŠøŠ²Š¾Ń— Š²Š¾Š»Š¾Š³Š¾ŃŃ‚Ń– Š¼Š°ŃŠ»Š° Š¾Ń†Ń–Š½ŃŽŠ²Š°Š»Š°ŃŃŒ шŠ»ŃŃ…Š¾Š¼ рŠ¾Š·Ń€Š°Ń…ŃƒŠ½Šŗу ŠŗŠ¾Ń€ŠµŠ½ŠµŠ²Š¾Ń— сŠµŃ€ŠµŠ“Š½ŃŒŠ¾ŠŗŠ²Š°Š“рŠ°Ń‚ŠøчŠ½Š¾Ń— ŠæŠ¾Š¼ŠøŠ»ŠŗŠø тŠ° ŠŗŠ¾ŠµŃ„іцієŠ½Ń‚Š° Š“ŠµŃ‚ŠµŃ€Š¼Ń–Š½Š°Ń†Ń–Ń—. Š ŠµŠ·ŃƒŠ»ŃŒŃ‚Š°Ń‚Šø тŠµŃŃ‚ŃƒŠ²Š°Š½ŃŒ сŠ²Ń–Š“чŠ°Ń‚ŃŒ ŠæрŠ¾ Š“Š¾ŃŃ‚Š°Ń‚Š½ŃŽ Š°Š“ŠµŠŗŠ²Š°Ń‚Š½Ń–ŃŃ‚ŃŒ Š·Š°ŠæрŠ¾ŠæŠ¾Š½Š¾Š²Š°Š½Šøх Š¼Š¾Š“ŠµŠ»ŠµŠ¹. Š—Š½Š°Ń‡ŠµŠ½Š½Ń ŠŗŠ¾Ń€ŠµŠ½ŠµŠ²Š¾Ń— сŠµŃ€ŠµŠ“Š½ŃŒŠ¾ŠŗŠ²Š°Š“рŠ°Ń‚ŠøчŠ½Š¾Ń— ŠæŠ¾Š¼ŠøŠ»ŠŗŠø Š“Š»Ń Š¼Š¾Š“ŠµŠ»Ń–, ŠæŠ¾Š±ŃƒŠ“Š¾Š²Š°Š½Š¾Ń— іŠ· Š²ŠøŠŗŠ¾Ń€ŠøстŠ°Š½Š½ŃŠ¼ Š¼ŠµŃ‚Š¾Š“у Grid Partition, стŠ°Š½Š¾Š²ŠøŠ»Š¾ 0,49, Š° Š“Š»Ń Š¼Š¾Š“ŠµŠ»Ń–, ŠæŠ¾Š±ŃƒŠ“Š¾Š²Š°Š½Š¾Ń— Š· Š²ŠøŠŗŠ¾Ń€ŠøстŠ°Š½Š½ŃŠ¼ Š¼ŠµŃ‚Š¾Š“у Subtractive Clustering ā€“ 0,40509

    Determination of compressive strength of perlite-containing slag-based geopolymers and its prediction using artificial neural network and regression-based methods

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    This study has two main objectives: (i) to investigate the parameters affecting the compressive strength (CS) of perlite-containing slag-based geopolymers and (ii) to predict the CS values obtained from experimental studies. In this regard, 540 cubic geopolymer samples incorporating different raw perlite powder (RPP) replacement ratios, different sodium hydroxide (NaOH) molarity, different curing time, and different curing temperatures for a total of 180 mixture groups were produced and their CS results were experimentally determined. Then conventional regression analysis (CRA), multivariate adaptive regression splines (MARS), and TreeNet methods, as well as artificial neural network (ANN) methods, were used to predict the CS results of geopolymers using this experimentally obtained data set. Root mean square error (RMSE), mean absolute error (MAE), scatter index (SI) and Nash-Sutcliffe (NS) performance statistics were used to evaluate the CS prediction capabilities of the methods. As a result, it was determined that the optimum molarity, curing time, and curing temperature were 14 M, 24 h, and 110 celcius, respectively and 48 h of heat curing did not have a significant effect on increasing the CS of the geopolymers. The highest performances in regression-based models were obtained from the MARS method. However, the ANN method showed higher prediction performance than the regression-based methods. Considering the RMSE values, it was seen that the ANN method made improvements by 24.7, 2.1, and 13.7 %, respectively, compared to the MARS method for training, validation, and test sets

    Data-driven Soft Sensors in the Process Industry

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    In the last two decades Soft Sensors established themselves as a valuable alternative to the traditional means for the acquisition of critical process variables, process monitoring and other tasks which are related to process control. This paper discusses characteristics of the process industry data which are critical for the development of data-driven Soft Sensors. These characteristics are common to a large number of process industry fields, like the chemical industry, bioprocess industry, steel industry, etc. The focus of this work is put on the data-driven Soft Sensors because of their growing popularity, already demonstrated usefulness and huge, though yet not completely realised, potential. A comprehensive selection of case studies covering the three most important Soft Sensor application fields, a general introduction to the most popular Soft Sensor modelling techniques as well as a discussion of some open issues in the Soft Sensor development and maintenance and their possible solutions are the main contributions of this work

    Macromixing study for various designs of impellers in a stirred vessel

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    The effect of the impeller designs and impeller clearance level (C/T) on power consumption, mixing time and air entrainment point in a single liquid phase under turbulent conditions (Reā€‰>ā€‰104) were investigated. Different impeller designs including conventional and new designs, were used to consider both axial and radial flow impellers. The electric conductivity method, suspended motor system and observation method were employed to determine the mixing time, the power consumption and the air entrainment point, respectively. The reduction in the impeller clearance level form T/3 to T/6 resulted in a decrease in power number values for up-flow pumping impellers while it was increased for down-flow pumping. The same trend was observed for the mixing time results. Moreover, axial flow impellers and specially HE3 are preferable for higher agitation speeds due to the less air entrainment. The results verified that the axial flow impellers and specifically down-flow impellers are more efficient than the radial flow impellers. ANFIS-Fuzzy Cā€“means (ANFISā€“FcM) and nonlinear regression were used to develop models to predict the mixing time based on the energy dissipation rate and clearance. The results verified that the model predictions successfully fit the experimental mixing time data
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