scholarly journals An Algorithm for Calculating Gas Transmission System Optimal Stationary Mode

2019 ◽  
Vol 102 ◽  
pp. 03003
Author(s):  
Andrey A. Belevitin

In this paper, we consider the problem of calculating the optimal stationary mode of the gas transmission system. The maximum throughput of the gas transmission system was used as optimization criterion. Presented are the problem statement and the solution procedure. The original problem is divided into two interrelated components: the MINLP problem and the temperature calculation. To solve the MINLP problem, the Successive Linear Programming (SLP) method was used in combination with the branch and boundary method applied to integer variables. Modeling of compressor shop operating modes was performed using integer variables. Described are the approaches to improving the convergence of the algorithm: the introduction of an additional optimization subcriterion and additional constraints for gas flows through GTS sections.

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Qiang Ling ◽  
Zhe Yan ◽  
Honghai Shen ◽  
Jiquan Li ◽  
Yongyang Wang

This paper proposes a robust switching control strategy for a transmission system with unknown backlash. Firstly, the adverse effects of backlash nonlinearity in the transmission system are analyzed. Then the backlash model and different operating modes of the transmission system with backlash are investigated. For each operating mode, an individual controller is designed to make the system robust against the unknown backlash and various frequencies of the input signal. Moreover, a supervisory controller is proposed to estimate the current mode of the transmission system and coordinate the controller switching between different modes. Simulations are done to verify that our switching control strategy can efficiently reduce the oscillation caused by backlash and is quite robust against the variation of the frequency of the input signal.


2012 ◽  
Vol 23 (2) ◽  
pp. 191-207
Author(s):  
Rafea M. Abd El-Maksoud Rafea M. Abd El-Maksoud

Different researches are adopted to modify and enhance automatic transmission by every means. Whereas, torque converter that represents the most important component in such transmission suffers from some problems that are not completely solved. In this paper, power transmission system is herein introduced as a unique power transmission system that is not affected by torque converter problems. This power transmission operates with power splitting concept and is composed of conventional torque converter connected to planetary sets. Three clutches are used to shift the operating modes and unique positive displacement hydraulic couplings are utilized to regulate performance in power paths. Also, a modified model used to predict torque converter performance is utilized with planetary gear kinetics to assess the transmission performance. Moreover, the present system operates with high performance. Unlike the automatic transmission that operates in line, the present system operates with infinity number of operational bands for each engine speed.


2021 ◽  
Vol 13 (3) ◽  
pp. 14-21
Author(s):  
Yurii Buriennikov ◽  
◽  
Leonid Kozlov ◽  
Oana Rusu ◽  
Viktor Matviichuk ◽  
...  

Mobile machine hydraulic circuits tend to adopt electrohydraulics. Such hydraulic circuits are based on controlled pumps, modulated hydraulics, sensors and controllers. This allows adapting the hydraulic circuit operating modes to the changes of external conditions of the machine operation. Application of hydraulic circuits with electrohydraulics in mobile machines allows to use mobile machines efficiently with a high number of removable endangers, increases their performance and improves the quality of performed works. The authors propose an adaptive hydraulic circuit for a mobile machine. The operation process in the adaptive hydraulic circuit in static and dynamic modes is determined by the interaction of the pump controller and pressure differential control valves. The hydraulic system operation stability, its fast response and readjustment are determined by the controller parameters. It has been revealed that the main parameters affecting the dynamic characteristics of the hydraulic system are: throttle area and coefficient of amplifying the pump controller orifice, dampener area and coefficient of amplifying the pressure differential control valve orifice. These parameters affect the stability, controlling and readjustment time in the hydraulic circuit differently. A functional including the values of controlling time , σ controlling and losses in the pump controller was used as an optimization criterion. The optimization has been made according to the developed mathematical model applying the method developed by I. Sobol and R. Statnikov. During the optimization each controller parameter changed on 3 levels. 81 tests were made and the best combination of controller parameters for the optimization criterion was determined. The following hydraulic circuit operation values were reached under the optimal values of parameters = 1.0·10-6 m2, = 1.0·10-3 m, = 1.2·10-6 m2, = 10·10-3 m: = 1.1 с, σ = 32 %, = 0.82 kW that comply with the requirements towards hydraulic circuits of mobile machines.


2020 ◽  
Vol 3 (4) ◽  
pp. 263-278
Author(s):  
Vladimir Ivanovich Mescheryakov ◽  
Vladimir Petrovich Zaykov ◽  
Yurii Ivanovich Zhuravlov

The work is a continuation of studies of the dynamic characteristics of thermoelectric coolers aimed at analyzing the influence of temperature differences, current operating modes, design parameters of the device and physical parameters of the material of thermoelements for a time constant. The article analyzes the effect of the heat sink capacity of the radiator on the dynamic characteristics, energy and reliability indicators of a single-stage thermoelectric cooler. A dynamic model of a thermoelectric cooler has been developed taking into account the weight and size parameters of the radiator, which relate the main energy indicators of the cooler with the heat removal capacity of the radiator, operating currents, the value of the heat load and the relative temperature difference. The analysis of the dynamic model shows that with an increase in the heat-removing capacity of the radiator at a given thermal load and various current modes, the main parameters of the cooler change. The required number of thermoelements, power consumption, time to reach a stationary mode, and relative failure rate are reduced. With an increase in the relative operating current, the time to reach the stationary mode of operation decreases for different values of the heat sink capacity of the radiator. It is shown that the minimum time to reach the stationary operating mode is provided in the maximum refrigerating capacity mode. The studies were carried out at different values of the heat sink capacity of the radiator in the operating range of temperature drops and the geometry of thermoelements. The possibility of minimizing the heat-dissipating surface of the radiator at various current operating modes and the relationship with the main parameters, reliability indicators and the time to reach the stationary operating mode are shown. Comparative analysis of weight and size characteristics, main parameters, reliability indicators and dynamics of functioning with rational design makes it possible to choose compromise solutions, taking into account the weight of each of the limiting factors.


2019 ◽  
Vol 102 ◽  
pp. 03002
Author(s):  
Andrey A. Belevitin ◽  
Victoria G. Ryzhkova

This study investigates the identification of non-measureable parameters of the gas transmission system (gas pipelines hydraulic efficiency coefficients). The problem statement and solution procedure are presented. The original problem is divided into two interrelated components: the nonlinear optimization problem and the temperature calculation. The nonlinear optimization problem is solved using the Successive Linear Programming (SLP) method. The problems of insufficiency of measurements and multiplicity of solutions are described, and appropriate approaches are proposed (introduction of additional subcriteria and uniting gas pipelines into groups). Identification of gas pipelines hydraulic efficiency coefficients for gas transmission systems of various complexity has been performed using the given algorithm.


2020 ◽  
Vol 219 ◽  
pp. 01001
Author(s):  
Alexandr Beylin ◽  
Mikhail Sukharev

We consider the new class of high precision simplified linear models of transient high-pressure gas flows along linear sections of pipelines. Representatives of this class are obtained from different initial models defined by partial differential equations. The new models are based on the exact solution of the Klein-Gordon equation, which appears as a result of piecewise linear approximation of nonlinear models in the form of Charny’s equations [1–4] or piecewise constant approximation in models that describe deviations of pressure and mass flow rates from their values in the basic stationary mode [10–13, 16–17]. The new class of models has significant advantages over nonlinear simplified models in optimization problems of large-scale networks, reducing the calculation time by more than two orders of magnitude. They are also free from errors of the approximate inverse Laplace transform or dimensionality reduction techniques traditionally applied in such situations.


The optimal parameters and operating modes of vibratory roller for soil compaction after sowing winter wheat were substantiated. For objective function - the optimum coefficient of variation of density of soil during operation of vibratory roller for compacting winter wheat regression equation was obtained in the planning according to the Вк plan of the experiment. The adequacy of model according to Fisher criterion, the significance and reliability of coefficients of regression equation was established. The response surface obtained by the shape of hyperboloid rotation was studied, twodimensional sections of three factors were constructed on optimization criterion. With its minimum value, the optimal parameters of vibratory roller were established: the mass of roller is 293 kg, the spring stiffness is 11.95 kN/m, the working speed of roller is 9.6 km/h. The minimum value of optimization criterion is 10.43%.


Processes ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 63
Author(s):  
Jiayuan Wang ◽  
Lingyu Zhu ◽  
Richard Lakerveld

Anti-solvent crystallization is frequently applied in pharmaceutical processes for the separation and purification of intermediate compounds and active ingredients. The selection of optimal solvent types is important to improve the economic performance and sustainability of the process, but is challenged by the discrete nature and large number of possible solvent combinations and the inherent relations between solvent selection and optimal process design. A computational framework is presented for the simultaneous solvent selection and optimization for a continuous process involving crystallization and distillation for recycling of the anti-solvent. The method is based on the perturbed-chain statistical associated fluid theory (PC-SAFT) equation of state to predict relevant thermodynamic properties of mixtures within the process. Alternative process configurations were represented by a superstructure. Due to the high nonlinearity of the thermodynamic models and rigorous models for distillation, the resulting mixed-integer nonlinear programming (MINLP) problem is difficult to solve by state-of-the-art solvers. Therefore, a continuous mapping method was adopted to relax the integer variables related to solvent selection, which makes the scale of the problem formulation independent of the number of solvents under consideration. Furthermore, a genetic algorithm was used to optimize the integer variables related to the superstructure. The hybrid stochastic and deterministic optimization framework converts the original MINLP problem into a nonlinear programming (NLP) problem, which is computationally more tractable. The successful application of the proposed method was demonstrated by a case study on the continuous anti-solvent crystallization of paracetamol.


Author(s):  
Ye. I. Kryzhanivskyy ◽  
V. Ya. Grudz ◽  
V. Ya. Grudz (jun.) ◽  
R. B. Tereshchenko ◽  
R. M. Govdjak

The principle of construction of stochastic and deterministic mathematical models for prediction of operating modes of gas pumping units at compressor stations of main gas pipelines and their optimization in conditions of incomplete loading of the gas transmission system is proposed. Calculation of the parameters of the technological mode of operation of the compressor stations of gas pumping units is based on the use of combined characteristics of centrifugal superchargers, the processing of which by means of mathematical statistics allowed to obtain analytical expressions for the characteristics models. The calculation method can be implemented for forecasting the operation modes of the compressor station in conditions of both single-stage and multi-stage compression of gas. The source data for the calculation comprise the upstream and downstream pressure and temperature of gas, the volume of pumping and physical properties of the gas. In order to predict operating modes of compressor stations, the optimal distribution of load between workshops equipped with multi-type gas-pumping units is carried out provided that the energy consumption is reduced to compress the given volume of gas under known boundary conditions. The principle of constructing an optimality criterion for conditions of incomplete loading of the gas transmission system is shown. To illustrate the proposed method of optimizing the operation modes of compressor stations under incomplete loading, we give an example of the calculation of optimal operating modes of a hypothetical two-seater compressor station with various types of aggregates. The calculation is based on the construction of analytical mathematical models of their characteristics on the criterion of minimum capacity for gas compression at a given output and upstream and down stream pressures at the station.


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