scholarly journals Modeling the control processes of the size population of microorganisms using modulated microwave

2021 ◽  
pp. 155-161
Author(s):  
Alexander Oshchepkov
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Control System ◽  
Microwave Radiation ◽  
Modulation Frequency ◽  
Dynamic Environment ◽  
Automatic Tuning ◽  
Size Population ◽  
Optimal Values ◽  
The Impact

The paper describes a mathematical model of a control system for the size population of microorganisms using modulated microwave radiation of non-thermal power.The model is implemented in the dynamic environment MATLAB+Simulink, the areas of optimal values of the impact parameters are found. An algorithm for automatic tuning of the modulation frequency during the experiment has been developed.The efficiency of the algorithmis shown with the help of computer simulation.

scholarly journals Влияние термических сопротивлений на холодильный коэффициент термоэлектрической системы охлаждения

2021 ◽  
Vol 91 (5) ◽  
pp. 743
Author(s):  
Е.Н. Васильев
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Power Supply ◽  
Cooling System ◽  
Thermoelectric Module ◽  
Current Strength ◽  
Temperature Control System ◽  
Operating Characteristics ◽  
Optimal Values ◽  
Supply Current

A thermoelectric cooling and temperature control system consisting of a thermoelectric module and devices for supplying and removing heat is considered. Based on a mathematical model that uses the operating characteristics of a serial thermoelectric module as initial data, the cooling coefficient of the cooling system was calculated taking into account the thermal resistances of the devices for supplying and removing heat. The dependences of the cooling coefficient on the current strength for different values of the cooling parameters are obtained. The analysis of optimal values of the power supply current of the thermoelectric module is carried out.

scholarly journals Vibration Control of Load for Jib Crane by using PID Controller

2020 ◽  
Vol 27 (3) ◽  
pp. 89-96
Author(s):  
Fares Abbas ◽  
Tawfik Al Massoud
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Vibration Control ◽  
Mechanical Model ◽  
Pid Controller ◽  
Integrated Production ◽  
Production Processes ◽  
Matlab Program ◽  
The Impact ◽  
The Mathematical Model

Jib Crane is a type of machinery used mainly to raise or lower materials or heavy objects and to carrying them to other places. It is used in construction and in the installation of large machines such as wind turbines and harbors, and is an essential component of integrated production processes. Because of the large loads carried by these cranes it became necessary to know their behavior before investment by studying their movements and studying the vibration of payloads and work to reduce them as much as possible and thus prolong the life of the crane components and increase their efficiency. Hence the need to design a control system to dampen load vibration to reduce the impact of dynamics affecting the parts of the crane. In this research, the mathematical model similar to the mechanical model of the crane was prepared and solving the model using MATLAB program, and then design a proportional integral differential controller for jib crane

scholarly journals Operational Optimization of the Electromechanical System in Non-deterministic Conditions

2020 ◽  
Vol 19 ◽  
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Technical Problem ◽  
Control Object ◽  
Electromechanical System ◽  
Operational Optimization ◽  
The Moment ◽  
Definition Of ◽  
The Impact ◽  
The Mathematical Model

On the basis of theoretical and practical studies of the electromechanical system, the scientific and technical problem of improving the control system of the electromechanical system during the impact on it of multi-vector perturbations is solved. The result of the study is the integration of differential equations with coefficients dependent on the oscillations of the control object. In the theoretical part, the mathematical model of the electromechanical system was synthesized, which made it possible to investigate ways of minimizing the deviation angles and time intervals required to stabilize the motion of the electromechanical system, which allowed indirectly to realize the associated signal with the stochastic nature of the moment of oscillation of the control object on the coordinate plane. The method of parametric optimization of the mathematical model of the electromechanical system in the function of the angle of inclination is also improved and investigated. Based on the definition of the structure and algorithms of work, the efficiency of the control system of the electromechanical system increases in terms of reducing the stabilization time of the control object.

scholarly journals SYNTHESIS OF THE MATHEMATICAL MODEL OF THE AUTOMATIC CONTROL SYSTEM OF THE UNMANNED AIRCRAFT COURSE

2019 ◽  
pp. 152-159
Author(s):  
I. V. Zimchuk ◽  
V. I. Ishchenko ◽  
T. M. Shapar
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Control System ◽  
Automatic Control ◽  
Unmanned Aerial Vehicles ◽  
Unmanned Aerial Vehicle ◽  
Automatic Control System ◽  
Aerial Vehicles ◽  
Aerial Vehicle ◽  
The Mathematical Model

Unmanned aerial vehicles are by far the most promising military and civilian systems. There is a tendency to increase the efforts of a number of leading countries in the development of unmanned aerial vehicles and their complexes. The mathematical model of any system reflects in one way or another its real properties, including the existing limitations. It has been found that one of the most favorable and efficient methods for constructing mathematical models of automatic control systems is to develop them using transfer functions. In order to solve this problem, the article deals with the composition of the control system of a drone. A mathematical model consisting of the joint design of the unmanned aerial vehicle and its automatic control system has been synthesized. The description of the proposed mathematical model of the system is based on the representation of a linear continuous system by the difference equations obtained using the Tustin relation. The mathematical model proposed in the article can be used for the study of typical aircraft whose course management system is built according to the considered structure. The practical significance of the obtained results is the possibility of applying the developed mathematical model to study the dynamics of the change of state and to set up the system of automatic control of the course of the unmanned aerial vehicle through computer simulation. Prospects for further research in this area are computer simulation of an unmanned aerial vehicle control system and estimation of the accuracy of the mathematical model developed.

scholarly journals Optimization Design of Actuator Parameters with Stepless Capacity Control System Considering the Effect of Backflow Clearance

2020 ◽  
Vol 10 (8) ◽  
pp. 2703
Author(s):  
Jinjie Zhang ◽  
Chao Zhou ◽  
Zhinong Jiang ◽  
Yao Wang ◽  
Xu Sun
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Good Effect ◽  
Reciprocating Compressor ◽  
Spring Stiffness ◽  
Objective Functions ◽  
Capacity Control ◽  
Hydraulic Force ◽  
The Impact ◽  
The Relationship

The actuator is the key to the stepless capacity control system of a reciprocating compressor. The coupling effect between the actuator and the reciprocating compressor was not considered in the traditional design, and the large design margin led to low system reliability, high cost and low safety. In this paper, a reciprocating compressor and actuator were taken as research objects. The backflow clearance of the suction valve was simulated by CFD (computational fluid dynamics), The relationship between backflow clearance and resultant gas force of the valve plate was discussed. By building a mathematical model of actuators considering backflow clearance and impact rebound, the relationship between the parameters of actuators was studied. Based on the mathematical model and CFD analysis, the hydraulic force and spring stiffness were taken as the design variables, the impact velocity of ejection or withdrawal and the backflow clearance were taken as objective functions, and the actuator parameters were optimized with NSGA-II (Non-dominated Sorting Genetic Algorithm – II). The optimization results show that when the backflow clearance is 0.0065 mm, the hydraulic force is 94.25 N, and the spring stiffness is 11,575.84 N/m, the objective functions are optimized, the parameters are significantly improved, and a good effect is achieved on the experimental table of a 2D reciprocating compressor.

scholarly journals Chamber Optimization for Comprehensive Improvement of Cone Crusher Productivity and Product Quality

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Fengbiao Wu ◽  
Lifeng Ma ◽  
Guanghui Zhao ◽  
Zhijian Wang
Keyword(s):  
Mathematical Model ◽  
Product Quality ◽  
Iron Ore ◽  
Structural Parameters ◽  
Negative Effect ◽  
Cone Crusher ◽  
Optimal Values ◽  
Simulation Results ◽  
The Impact

This study aims to analyze the impact of key structural parameters such as the bottom angle of the mantle, the length of the parallel zone, and the eccentric angle on the productivity and product quality of the cone crusher and optimize the crushing chamber to improve the crusher performance. The amount of ore in the blockage layer was calculated by analyzing the movement state of the ore in the crushing chamber. Considering the amount of ore uplift further, the traditional mathematical model of crusher productivity was revised. Then, a mathematical model for dual-objective optimization of productivity and product quality of cone crusher was established. Furthermore, taking the existing C900 cone crusher as the research object, the influence of key parameters on the performance of the crusher was researched. And the optimal values of key structural parameters were obtained. Finally, based on the iron ore coarsely crushed by the gyratory crusher, the dynamic characteristics of the C900 cone crusher were simulated by using the discrete element method (DEM), and the simulation results are basically consistent with the numerical analysis results. Results show that considering the amount of ore uplift in the blockage layer, the revised mathematical model of crusher productivity can better characterize the actual productivity. The bottom angle of the mantle and the length of the parallel zone are within the range of 50°–60°and 140 mm–190 mm, respectively. The productivity shows a positive correlation with the bottom angle and a negative correlation with the length of the parallel zone. But the dependence of product quality on the angle and the length is just the opposite. The eccentric angle is within the range of 1.4°–2° and its decrease has a negative effect on the productivity and product quality.

scholarly journals ДОСЛІДЖЕННЯ РОБОТИ СИСТЕМ КЕРУВАННЯ ДОЗУВАЛЬНИМ ОБЛАДНАННЯМ БЕЗПЕРЕРВНОЇ ДІЇ З «ПІ» ТА «ПІД» РЕГУЛЯТОРАМИ

2022 ◽  
pp. 18-27
Author(s):  
VOLODYMYR NICHEGLOD ◽  
OLEKSANDR BURMISTENKOV ◽  
VOLODYMYR STATSENKO
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Operating Time ◽  
Pid Controllers ◽  
Engine Operation ◽  
Continuous Action ◽  
Advantages And Disadvantages ◽  
Plate Feeder ◽  
The Impact ◽  
Continuous Dosing

Purpose. Investigation of transients in the control system of continuous dosing equipment for bulk materials using PI and PID regulators and evaluation of their impact on the quality of work elements.Method. Using the Mathlab: Simulink software environment to develop a mathematical model, conduct experimental research and assess the impact on the working bodies of the control system of continuous dosing equipment.Researchresults. Control of motor parameters (motor characteristics) by means of standard regulators of their comparison of advantages and disadvantages. described in many standards and scientific papers. However, modeling the engine operation process in dosing systems is significantly complicated due to the inertness and adhesion of bulk material dosed in the core of the hopper, it can significantly affect the final result of the finished mixture. continuous operation equipment using PI and PID controllers, an experiment was performed on a mathematical model using PI and PID controllers to assess their impact on the control system of the plate feeder continuous action. The results of the simulation can be used to decide on the type of controller control of transient characteristics of the engine, at development of control system of plate feeders in mixing complexes of continuous action.Scientificnovelty. Scientific novelty. The parameters influencing the frequency with which the motor of the plate feeder of continuous action rotates are determined. The time of the transient process of engine operation and the value of the maximum dynamic deviation are determined. The expediency of using regulators of one or another type for certain modes of operation of feeders is proved.Practical significance. The obtained results will reduce the transient time in the operation of the feeder motor and increase the operating time until the failure of the entire system. Design changes are proposed that will reduce the amount of ripple and improve the performance of continuous dosing equipment.

The Impact of Light Polarisation on Light Field of Scenes with Multiple Reflections

2020 ◽  
pp. 108-115 ◽  
Author(s):  
Vladimir P. Budak ◽  
Anton V. Grimaylo
Keyword(s):  
Mathematical Model ◽  
Light Field ◽  
Global Illumination ◽  
Multiple Reflections ◽  
Software Environment ◽  
The Monte Carlo Method ◽  
Mueller Matrices ◽  
Volume Integration ◽  
The Impact

The article describes the role of polarisation in calculation of multiple reflections. A mathematical model of multiple reflections based on the Stokes vector for beam description and Mueller matrices for description of surface properties is presented. On the basis of this model, the global illumination equation is generalised for the polarisation case and is resolved into volume integration. This allows us to obtain an expression for the Monte Carlo method local estimates and to use them for evaluation of light distribution in the scene with consideration of polarisation. The obtained mathematical model was implemented in the software environment using the example of a scene with its surfaces having both diffuse and regular components of reflection. The results presented in the article show that the calculation difference may reach 30 % when polarisation is taken into consideration as compared to standard modelling.

Computer Simulation of the Response of Amperometric Biosensors in Stirred and non Stirred Solution

2003 ◽  
Vol 8 (1) ◽  
pp. 3-18 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
J. Kulys
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Finite Difference ◽  
Mass Transport ◽  
Enzyme Reaction ◽  
Analyte Concentration ◽  
Amperometric Biosensors ◽  
Finite Difference Technique ◽  
Enzyme Layer ◽  
Biosensor Response

A mathematical model of amperometric biosensors has been developed to simulate the biosensor response in stirred as well as non stirred solution. The model involves three regions: the enzyme layer where enzyme reaction as well as mass transport by diffusion takes place, a diffusion limiting region where only the diffusion takes place, and a convective region, where the analyte concentration is maintained constant. Using computer simulation the influence of the thickness of the enzyme layer as well the diffusion one on the biosensor response was investigated. The computer simulation was carried out using the finite difference technique.

Analyzing the Impact of Healthy Behavior on Weight Change with a Provable Mathematical Model (Preprint)

2020 ◽  
Author(s):  
Ayan Chatterjee ◽  
Ram Bajpai ◽  
Pankaj Khatiwada
Keyword(s):  
Physical Activity ◽  
Mathematical Model ◽  
Health Behavior ◽  
Weight Change ◽  
Simulated Data ◽  
Negative Behavior ◽  
Healthy Behavior ◽  
Healthy Habits ◽  
Lifestyle Diseases ◽  
The Impact

BACKGROUND Lifestyle diseases are the primary cause of death worldwide. The gradual growth of negative behavior in humans due to physical inactivity, unhealthy habit, and improper nutrition expedites lifestyle diseases. In this study, we develop a mathematical model to analyze the impact of regular physical activity, healthy habits, and a proper diet on weight change, targeting obesity as a case study. Followed by, we design an algorithm for the verification of the proposed mathematical model with simulated data of artificial participants. OBJECTIVE This study intends to analyze the effect of healthy behavior (physical activity, healthy habits, and proper dietary pattern) on weight change with a proposed mathematical model and its verification with an algorithm where personalized habits are designed to change dynamically based on the rule. METHODS We developed a weight-change mathematical model as a function of activity, habit, and nutrition with the first law of thermodynamics, basal metabolic rate (BMR), total daily energy expenditure (TDEE), and body-mass-index (BMI) to establish a relationship between health behavior and weight change. Followed by, we verified the model with simulated data. RESULTS The proposed provable mathematical model showed a strong relationship between health behavior and weight change. We verified the mathematical model with the proposed algorithm using simulated data following the necessary constraints. The adoption of BMR and TDEE calculation following Harris-Benedict’s equation has increased the model's accuracy under defined settings. CONCLUSIONS This study helped us understand the impact of healthy behavior on obesity and overweight with numeric implications and the importance of adopting a healthy lifestyle abstaining from negative behavior change.

Sign in / Sign up

Export Citation Format

Share Document