The Optimization of Parameters in Refining Process Based on LINGO Software

2012 ◽  
Vol 466-467 ◽  
pp. 376-380
Author(s):  
Wei Tang ◽  
Yan Zi Zhao
Keyword(s):  
Mathematical Model ◽  
Economic Benefits ◽  
Refining Process ◽  
Mathematical Software ◽  
Complex Energy ◽  
Optimization Of Parameters ◽  
Energy Consuming ◽  
High Consistency ◽  
The Mathematical Model

APMP high-consistency refining process is a complex energy-consuming process, under the unchanged condition of equipments, it’s very important to optimize the refining quality, yields and costs. Through analyzing the refining process, the mathematical model about optimizing three parameters simultaneously is proposed, and solved by the mathematical software with powerful function(LINGO), By comparing, the results show: for one thing, the different indices tendency determine the optimized degree; for another, the indices of quality and yields after optimization has been raised more than that before optimization, and the costs reduce obviously, the improvement of economic benefits is considerable for a larger enterprise.

Establishment and Application of Mathematical Model of Hogarth Curve

2014 ◽  
Vol 686 ◽  
pp. 601-604
Author(s):  
Ling Xi Zhang ◽  
Hang Zhang ◽  
Xu Yun Zhu ◽  
Jian Ping Wang ◽  
Dong Yue Liu
Keyword(s):  
Mathematical Model ◽  
Fashion Design ◽  
Mathematical Software ◽  
Practical Application ◽  
Evaluation Standard ◽  
Curve Modeling ◽  
Curve Theory ◽  
The Mathematical Model ◽  
Establishment Process

By means of Hogarth curve theory and combined with mathematical model establishment process, equations of drawing Hogarth curve were built and the curve images were restored by mathematical software in this paper, as the evaluation standard of curve aesthetics in fashion design. In the practical application, one can compare the designed curves with the mathematical model of Hogarth curve: the higher degree of fitting, the more beautiful the curve modeling is. This method has good guidance significance in future fashion design and clothing purchase.

Shale Gas Seepage Mechanism and Pressure Dynamic Characteristics Research

2013 ◽  
Vol 652-654 ◽  
pp. 2484-2489
Author(s):  
Yong Ming Li ◽  
Ya Zhou Li ◽  
Xue Ping Zhang ◽  
Jin Zhou Zhao ◽  
Lie Hui Zhang
Keyword(s):  
Mathematical Model ◽  
Shale Gas ◽  
Economic Benefits ◽  
Processing Method ◽  
Numerical Inversion ◽  
Fracture System ◽  
Response Curves ◽  
Flow Process ◽  
Gas Seepage ◽  
The Mathematical Model

The shale gas reserves could bring huge economic benefits. Therefore, many domestic and international scholars had researched it in all aspects. The research of seepage mechanism is mostly based on double seepage medium, they think gas spread directly into the fracture system when gas instantaneous desorbing from adsorption medium surface. However, the processing method is not very appropriate, because a certain amount of free gas present in rock matrixes pores. In order to describe the flow process accurately, this paper proposed a new concept of triple porous media, established a new model of shale gas seepage and solved the mathematical model by using Laplace transform and Stehfest numerical inversion. Finally figured out pressure dynamic response curves and analyzed the influence of all parameters on these curves.

scholarly journals The mathematical model of producing winter diesel fuel (including logistic costs)

2021 ◽  
Vol 258 ◽  
pp. 11005
Author(s):  
Valentin Nikonorov ◽  
Andrei Kutuzov ◽  
Viktor Nikonorov ◽  
Irina Bagaeva ◽  
Anna Letta
Keyword(s):  
Mathematical Model ◽  
Diesel Fuel ◽  
Raw Materials ◽  
Target Function ◽  
Refining Process ◽  
Oil Refining ◽  
Transport Costs ◽  
Main Research ◽  
Oil Refineries ◽  
The Mathematical Model

The authors reviewed the statistics of winter diesel fuel consumption in the Russian Federation for 2000–2017, revealed a positive growth rate. On this fact, the relevance of the study was substantiated. The complexity and importance of the refining process leads to the need for digitalization of oil refineries. The object of the study is obtaining winter diesel fuel, taking into account transport costs. The subject of the study is digitalization of the oil refining process on the base of constructing the mathematical model for obtaining winter diesel fuel, taking into account delivery costs. Main research methods: retrospective data analysis, synthesis, comparison, linear programming methods. The authors considered two stages of winter diesel fuel production: dewaxing a mixture of stages of hydrocarbon raw materials on zeolite and subsequent compounding. For each stage, the authors compiled a system of equations describing the process. The authors also compiled a target function for obtaining winter diesel fuel, taking into account the costs of receiving and delivering. The obtained mathematical model can be used to ensure the required quality of winter diesel fuel (in terms of sulfur content, density and flash point).

scholarly journals Research on Inpit Dumping Height during Tracing Mining Period between Two Adjacent Surface Coal Mines

2018 ◽  
Vol 2018 ◽  
pp. 1-8
Author(s):  
Hongge Peng ◽  
Ding Zhang
Keyword(s):  
Mathematical Model ◽  
Minimum Cost ◽  
Economic Benefits ◽  
Surface Mines ◽  
Planning Project ◽  
Mining Conditions ◽  
Project Location ◽  
The Cost ◽  
Relationship Of ◽  
The Mathematical Model

When two adjacent surface mines are simultaneously mined in the same direction with a certain relationship of the time and space, the mining arrangement of the former mine will greatly affect the mining plan and economic benefit of subsequent surface mine. In this paper, the optimized mathematical model is established with the mining conditions and economic benefits taken into account. The minimum cost of objective function is analyzed in the condition of considering the different transportation distance with different dumping amount and secondary stripping amount. At the end of this paper a conclusion is drawn that the reasonable dumping level is determined as 1130 based on the annual planning project location and stripping amount, which will reduce the cost of production and smooth the coal mining. Moreover, it is verified by an example to be correct that the mathematical model can be used to solve similar problems of tracing mining or adjacent districts mined in surface mines.

Mathematical Model of Obstacle Avoidance Shortest Time Path for Robot

2014 ◽  
Vol 721 ◽  
pp. 214-217 ◽  
Author(s):  
Lu Ling Duan ◽  
Pin Wang ◽  
Ni Ruan
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Obstacle Avoidance ◽  
Optimal Path ◽  
Mathematical Software ◽  
Time Path ◽  
The Mathematical Model

In this paper, we study the mathematical model of obstacle avoidance shortest time path for robot. From origin to specified point, the robot shortest time path is divided into three cases, then we establish three mathematical models , through mathematical software, we get three required times, by comparison, we can get results of optimal path.

DETERMINATION OF PERFORMANCE INDICATORS OF THE TRUCK KrAZ-6510TE

2020 ◽  
pp. 19-26
Author(s):  
Olexandr Pavlenko ◽  
Serhii Dun ◽  
Maksym Skliar
Keyword(s):  
Mathematical Model ◽  
Surface Friction ◽  
Building Structures ◽  
Maximum Torque ◽  
Military Equipment ◽  
Military Vehicles ◽  
Force Magnitude ◽  
Vehicle Mobility ◽  
The Mathematical Model

In any economy there is a need for the bulky goods transportation which cannot be divided into smaller parts. Such cargoes include building structures, elements of industrial equipment, tracked or wheeled construction and agricultural machinery, heavy armored military vehicles. In any case, tractor-semitrailer should provide fast delivery of goods with minimal fuel consumption. In order to guarantee the goods delivery, tractor-semitrailers must be able to overcome the existing roads broken grade and be capable to tow a semi-trailer in off-road conditions. These properties are especially important for military equipment transportation. The important factor that determines a tractor-semitrailer mobility is its gradeability. The purpose of this work is to improve a tractor-semitrailer mobility with tractor units manufactured at PJSC “AutoKrAZ” by increasing the tractor-semitrailer gradeability. The customer requirements for a new tractor are determined by the maximizing the grade to 18°. The analysis of the characteristics of modern tractor-semitrailers for heavy haulage has shown that the highest rate of this grade is 16.7°. The factors determining the limiting gradeability value were analyzed, based on the tractor-semitrailer with a KrAZ-6510TE tractor and a semi-trailer with a full weight of 80 t. It has been developed a mathematical model to investigate the tractor and semi-trailer axles vertical reactions distribution on the tractor-semitrailer friction performances. The mathematical model has allowed to calculate the gradeability value that the tractor-semitrailer can overcome in case of wheels and road surface friction value and the tractive force magnitude from the engine. The mathematical model adequacy was confirmed by comparing the calculations results with the data of factory tests. The analysis showed that on a dry road the KrAZ-6510TE tractor with a 80 t gross weight semitrailer is capable to climb a gradient of 14,35 ° with its coupling mass full use condition. The engine's maximum torque allows the tractor-semitrailer to overcome a gradient of 10.45° It has been determined the ways to improve the design of the KrAZ-6510TE tractor to increase its gradeability. Keywords: tractor, tractor-semitrailer vehicle mobility, tractor-semitrailer vehicle gradeability.

EXPERIMENTAL STUDIES OF CAR PROPERTIES ON A PHYSICAL MODEL

2019 ◽  
pp. 10-16
Author(s):  
Oleksii Timkov ◽  
Dmytro Yashchenko ◽  
Volodymyr Bosenko
Keyword(s):  
Mathematical Model ◽  
Remote Control ◽  
Physical Model ◽  
Model Experiment ◽  
Experimental Studies ◽  
Electrical Energy ◽  
Short Term ◽  
Motor Current ◽  
Memory Card ◽  
The Mathematical Model

The article deals with the development of a physical model of a car equipped with measuring, recording and remote control equipment for experimental study of car properties. A detailed description of the design of the physical model and of the electronic modules used is given, links to application libraries and the code of the first part of the program for remote control of the model are given. Atmega microcontroller on the Arduino Uno platform was used to manage the model and register the parameters. When moving the car on the memory card saved such parameters as speed, voltage on the motor, current on the motor, the angle of the steered wheel, acceleration along three coordinate axes are recorded. Use of more powerful microcontrollers will allow to expand the list of the registered parameters of movement of the car. It is possible to measure the forces acting on the elements of the car and other parameters. In the future, it is planned to develop a mathematical model of motion of the car and check its adequacy in conducting experimental studies on maneuverability on the physical model. In addition, it is possible to conduct studies of stability and consumption of electrical energy. The physical model allows to quickly change geometric dimensions and mass parameters. In the study of highway trains, this approach will allow to investigate the various layout schemes of highway trains in the short term. It is possible to make two-axle road trains and saddle towed trains, three-way hitched trains of different layout. The results obtained will allow us to improve not only the mathematical model, but also the experimental physical model, and move on to further study the properties of hybrid road trains with an active trailer link. This approach allows to reduce material and time costs when researching the properties of cars and road trains. Keywords: car, physical model, experiment, road trains, sensor, remote control, maneuverability, stability.

RESEARCH OF INDICATORS OF A VEHICLE WITH A DIESEL WORKING ON DIESEL AND DIESEL GAS CYCLES USING THE MATHEMATICAL MODEL

2020 ◽  
pp. 14-19
Author(s):  
Serhii Kovbasenko ◽  
Andriy Holyk ◽  
Serhii Hutarevych
Keyword(s):  
Mathematical Model ◽  
Diesel Engine ◽  
Environmental Performance ◽  
Energy Performance ◽  
Dual Fuel ◽  
Fuel System ◽  
Compressed Natural Gas ◽  
Diesel Vehicles ◽  
Diesel Cycle ◽  
The Mathematical Model

The features of an advanced mathematical model of motion of a truck with a diesel engine operating on the diesel and diesel gas cycles are presented in the article. As a result of calculations using the mathematical model, a decrease in total mass emissions as a result of carbon monoxide emissions is observed due to a decrease in emissions of nitrogen oxides and emissions of soot in the diesel gas cycle compared to the diesel cycle. The mathematical model of a motion of a truck on a city driving cycle according to GOST 20306-90 allows to study the fuel-economic, environmental and energy indicators of a diesel and diesel gas vehicle. The results of the calculations on the mathematical model will make it possible to conclude on the feasibility of converting diesel vehicles to using compressed natural gas. Object of the study – the fuel-economic, environmental and energy performance diesel engine that runs on dual fuel system using CNG. Purpose of the study – study of changes in fuel, economic, environmental and energy performance of vehicles with diesel engines operating on diesel and diesel gas cycles, according to urban driving cycle modes. Method of the study – calculations on a mathematical model and comparison of results with road tests. Bench and road tests, results of calculations on the mathematical model of motion of a truck with diesel, working on diesel and diesel gas cycles, show the improvement of environmental performance of diesel vehicles during the converting to compressed natural gas in operation. Improvement of environmental performance is obtained mainly through the reduction of soot emissions and nitrogen oxides emissions from diesel gas cycle operations compared to diesel cycle operations. The results of the article can be used to further develop dual fuel system using CNG. Keywords: diesel engine, diesel gas engine, CNG

Glycemia monitoring

1998 ◽  
Vol 2 ◽  
pp. 23-30
Author(s):  
Igor Basov ◽  
Donatas Švitra
Keyword(s):  
Diabetes Mellitus ◽  
Mathematical Model ◽  
Numerical Methods ◽  
Differential Equations ◽  
Blood Sugar ◽  
Self Regulation ◽  
Physiological System ◽  
Non Linear ◽  
The Mathematical Model

Here a system of two non-linear difference-differential equations, which is mathematical model of self-regulation of the sugar level in blood, is investigated. The analysis carried out by qualitative and numerical methods allows us to conclude that the mathematical model explains the functioning of the physiological system "insulin-blood sugar" in both normal and pathological cases, i.e. diabetes mellitus and hyperinsulinism.

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