Mathematical model for object energy loss calculating according to mutual influence of adjacent climate zones

2017 ◽  
Author(s):  
Vladimir Gorbunov ◽  
Dmitriy Bobrikov ◽  
Alexander Balashov
Keyword(s):  
Mathematical Model ◽  
Energy Loss ◽  
Mutual Influence ◽  
Climate Zones

scholarly journals Inside–Out Method for Simulating a Reactive Distillation Process

Processes ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 604 ◽  
Author(s):  
Liang Wang ◽  
Xiaoyan Sun ◽  
Li Xia ◽  
Jianping Wang ◽  
Shuguang Xiang
Keyword(s):  
Mathematical Model ◽  
Design Research ◽  
Reactive Distillation ◽  
Mutual Influence ◽  
Molar Fraction ◽  
Estimation Method ◽  
Distillation Process ◽  
K Value ◽  
Calculation Process ◽  
Inside Out

Reactive distillation is a technical procedure that promotes material strengthening and its simulation plays an important role in the design, research, and optimization of reactive distillation. The solution to the equilibrium mathematical model of the reactive distillation process involves the calculation of a set of nonlinear equations. In view of the mutual influence between reaction and distillation, the nonlinear enhancement of the mathematical model and the iterative calculation process are prone to fluctuations. In this study, an improved Inside–Out method was proposed to solve the reaction distillation process. The improved Inside–Out methods mainly involved—(1) the derivation of a new calculation method for the K value of the approximate thermodynamic model from the molar fraction summation equation and simplifying the calculation process of the K value, as a result; and (2) proposal for an initial value estimation method suitable for the reactive distillation process. The algorithm was divided into two loop iterations—the outer loop updated the relevant parameters and the inside loop solved the equations, by taking the isopropyl acetate reactive distillation column as an example for verifying the improved algorithm. The simulation results presented a great agreement with the reference, and only the relative deviation of the reboiler heat duty reached 2.57%. The results showed that the calculation results were accurate and reliable, and the convergence process was more stable.

Use of Cellular Automata for Modelling of the Material Erosion and Grit Entrainment during Discharge in EDM

2014 ◽  
Vol 354 ◽  
pp. 101-108 ◽  
Author(s):  
Andrzej Golabczak ◽  
Andrzej Konstantynowicz ◽  
Marcin Golabczak
Keyword(s):  
Mathematical Model ◽  
Electric Field ◽  
Electric Field Distribution ◽  
Mutual Influence ◽  
Rectangular Grid ◽  
Physical Processes ◽  
Electrical Parameters ◽  
Electro Discharge Machining ◽  
Material Erosion ◽  
Electric Charge Distribution

A combined mathematical model has been presented to evaluate the main physical processes taking place in the electro-discharge machining (EDM) gap. The model consists of electric field distribution evaluation by using the full Poisson equation for the environment of different electrical parameters as well as the electric charge distribution, and rends particles (grits) movement in the gap forced by diffusion as well as the electric field drag of charged grits. Both models are developed on the same rectangular grid which allows mutual influence of them.

scholarly journals Mathematical modelling and simulation of the thermal performance of a solar heated indoor swimming pool

2014 ◽  
Vol 18 (3) ◽  
pp. 999-1010 ◽  
Author(s):  
Marko Mancic ◽  
Dragoljub Zivkovic ◽  
Pedja Milosavljevic ◽  
Milena Todorovic
Keyword(s):  
Mathematical Model ◽  
Energy Loss ◽  
Hot Water ◽  
Swimming Pool ◽  
Solar Thermal ◽  
Water Heating ◽  
Pool Water ◽  
Heat Demand ◽  
Indoor Swimming Pool ◽  
Total Pool

Buildings with indoor swimming pools have a large energy footprint. The source of major energy loss is the swimming pool hall where air humidity is increased by evaporation from the pool water surface. This increases energy consumption for heating and ventilation of the pool hall, fresh water supply loss and heat demand for pool water heating. In this paper, a mathematical model of the swimming pool was made to assess energy demands of an indoor swimming pool building. The mathematical model of the swimming pool is used with the created multi-zone building model in TRNSYS software to determine pool hall energy demand and pool losses. Energy loss for pool water and pool hall heating and ventilation are analyzed for different target pool water and air temperatures. The simulation showed that pool water heating accounts for around 22%, whereas heating and ventilation of the pool hall for around 60% of the total pool hall heat demand. With a change of preset controller air and water temperatures in simulations, evaporation loss was in the range 46-54% of the total pool losses. A solar thermal sanitary hot water system was modelled and simulated to analyze it's potential for energy savings of the presented demand side model. The simulation showed that up to 87% of water heating demands could be met by the solar thermal system, while avoiding stagnation.

scholarly journals Математична модель антени з нелінійними характеристиками для розрахунку елект-ромагнітного поля у зоні Френеля

2021 ◽  
pp. 46-58
Author(s):  
Дмитро Вячеславович Грецьких ◽  
Василь Олександрович Алєксєєв ◽  
Андрій Володимирович Гомозов ◽  
Віктор Олександрович Катрич ◽  
Михайло Васильович Нестеренко
Keyword(s):  
Mathematical Model ◽  
Electromagnetic Compatibility ◽  
Phase Distribution ◽  
Mutual Influence ◽  
Fresnel Zone ◽  
Nonlinear Effects ◽  
Arbitrary Field ◽  
Mathematical Methods ◽  
Nonlinear Characteristics ◽  
Transmitting Antenna

The paper presents a mathematical model of radio-electronic systems (RES), which include antennas and their excitation paths with nonlinear characteristics. The model provides acceptable accuracy of RES quality indicator analysis and electromagnetic compatibility (EMC) for further practical design. General purpose: the development of a mathematical model of a transmitting multi-input radiating structure with nonlinear characteristics under the Fresnel zone. Objective: choice justification of a structural schema of a radiating multi-input system with a radiator that has a distributed nonlinear surface impedance; obtaining the nonlinear integral equations (NIE) related to the current density for radiators with distributed nonlinearity, excited by an arbitrary field distribution for solving the general analysis problem; obtaining a ratio for calculating focused electromagnetic fields (EMF) created by multi-input radiating structures with nonlinear characteristics in the Fresnel zone. The methods used in the paper are mathematical methods of electrodynamics and antennas theory with nonlinear elements (ANE), theory of microwave circuits, and multipoles. The following results were obtained. An electrodynamics approach is proposed to analyze the entire set of nonlinear effects arising in transmitting multi-input radiating structures with nonlinear characteristics. It allows considering the mutual influence of the transmitting and receiving antennas with nonlinear characteristics in the system itself and the electrodynamics interaction of the transmitting antenna with nonlinear characteristics with RES for other purposes. Component equations (NIE) of multi-input radiating structures that establish the relationship of amplitude-phase distribution at the inputs of radiators with distributed nonlinearity and amplitude-phase distribution on their surfaces are obtained. A mathematical model of multi-input radiator structures with nonlinear characteristics in the Fresnel zone for analysis purposes has been produced. Conclusions. The scientific novelty of the obtained results is as follows: a generalized theory of transmitting antennas of arbitrary configuration with nonlinear characteristics in the Fresnel zone, which makes it possible to analyze the characteristics of these antennas considering the positive and negative (beneficial and adverse) nonlinear effects that arise in them.

scholarly journals Mathematical Modeling of Eddy-Current Loss for a New Induction Heating Device

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Hai Du ◽  
Junyuan Li ◽  
Yanbin Qu
Keyword(s):  
Mathematical Model ◽  
Induction Heating ◽  
Eddy Current ◽  
Permanent Magnets ◽  
Mutual Influence ◽  
Mechanical Energy ◽  
Eddy Current Loss ◽  
Element Analysis ◽  
Current Loss ◽  
Heating Device

A new induction heating device is presented in this paper. This device can convert mechanical energy into heat energy by utilizing eddy currents, which are induced by rotating permanent magnets. A mathematical model is established for estimating eddy-current loss of the device. The distribution of induced currents and the resultant magnetic field intensity are considered in the process of modeling the eddy-current loss and so is the mutual influence of the electric field between neighborhood pole projection areas. Particularly, the skin effect is considered by correcting the numerical integral domain of eddy current density, which has great effect on the calculating results. Based on specific examples, the effectiveness and correctness of proposed model are proved by finite element analysis. The results show that the mathematical model can provide important reference for design and structure optimization of the device.

scholarly journals A Mathematical Model for a Conceptual Design and Analyses of UAV Stabilization Systems

Fluids ◽  
2021 ◽  
Vol 6 (5) ◽  
pp. 172
Author(s):  
Vadim Kramar ◽  
Aleksey Kabanov ◽  
Sergey Dudnikov
Keyword(s):  
Mathematical Model ◽  
Transfer Functions ◽  
Mutual Influence ◽  
Complete System ◽  
Control Object ◽  
Stabilization System ◽  
Elastic Deformations ◽  
Dynamic Constraints ◽  
Control Actions ◽  
Analysis And Synthesis

This article considers the principle of constructing mathematical models of functionally complex multidimensional multiloop continuous–discrete UAV stabilization systems. This is based on the proposal for constructing a mathematical model based on the class of the considered complexity of the stabilization system-multidimensionality, multi-rating, and elasticity. Multiloop (multidimensional) UAV stabilization systems are often characterized by the control of several interconnected state elements and the existence of several channels for the propagation of signals and mutual connections between individual objects. This is due to the need not only to take into account the numerous disturbing factors (for example, wind) acting on the control object as well as the need to use several points of application of control actions. Additionally, an important point is the possible separation of the mutual influence of the roll and yaw channels of the UAV on its synthesis and analysis. For this purpose, a mathematical model has been constructed using a description in the form of transfer functions, and therefore, in the form of structural diagrams. The principle of obtaining transfer functions is shown to demonstrate additional dynamic constraints introduced by elastic deformations into the stabilization loop through gyroscopic devices and accelerometers. This will make it possible to formulate a methodology for analyzing the influence of aeroelastic constraints on the stabilization loop, which will allow developing approaches to formulate requirements for the effective placement of gyroscopes and accelerometers on the UAV. The proposed approach allows creating a complete system of analysis and synthesis tools for complex multidimensional continuous–discrete UAV stabilization systems.

scholarly journals Development of a Distributed Mathematical Model and Control System for Reducing Pollution Risk in Mineral Water Aquifer Systems

Water ◽  
2022 ◽  
Vol 14 (2) ◽  
pp. 151
Author(s):  
Alexander V. Martirosyan ◽  
Yury V. Ilyushin ◽  
Olga V. Afanaseva
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Mineral Water ◽  
Structural Integrity ◽  
Mutual Influence ◽  
Operating Mode ◽  
Mineral Waters ◽  
Object A ◽  
Input Action ◽  
Aquifer Systems

The article is devoted to the problem of the growing need of the mineral water fields’ exploitation process automation. The implementation of control systems and mathematical modeling methods can significantly reduce the fields’ structural integrity violation and pollution of aquifers risks. This research is especially relevant for the fields with difficult conditions of mineral waters occurrence, since the insufficient accuracy of determining the fields’ operating mode parameters can lead to a severe incident. The article describes a distributed mathematical model developed from the geo-filtration equation. Based on this model, a new method for assessing the mutual influence of the fields, the production of which is carried out from one aquifer, is presented. For a more detailed study of the operating mode parameters influence on the object a physical model of the reservoir was developed. The using of Arduino sensors and the developed software allows us to construct a 3D graph of the input action and its response at the different points of the object as temperature distribution. The simulation results make it possible to use the proposed model for the automatic control system synthesis.

scholarly journals The resolution of a mathematically bad-defined problem in the approximation of a cellular automation by the example of the description of human states

2021 ◽  
Vol 2056 (1) ◽  
pp. 012062
Author(s):  
E V Kalashnikov ◽  
A A Sheryomukhina ◽  
V D Filatov
Keyword(s):  
Mathematical Model ◽  
Differential Equations ◽  
Cellular Automaton ◽  
Finite Differences ◽  
Mutual Influence ◽  
Rate Of Change ◽  
System Of Differential Equations ◽  
Von Neumann ◽  
Sequential Execution ◽  
Cellular Automation

Abstract A mathematical model describing the mutual influence of bad-defined various human characteristics is constructed. This model is described by a system of differential equations that reflect the “rate” of change in a characteristic as a function of the frequency of interaction with other characteristics. The transition from differential equations to equations in finite differences and the introduction of the von Neumann neighborhood on the resulting square space of the frequency of interaction of various human characteristics allows us to introduce a cellular automaton. The sequential execution of iterations in the cellular automaton allows to track how each of the entered characteristics depends on the behavior of other characteristics.

Minimizing the Energy Loss of the Bi-Articular Actuation in Bipedal Robots

2015 ◽  
Author(s):  
Derek Lahr ◽  
Hak Yi ◽  
Dennis Hong
Keyword(s):  
Genetic Algorithm ◽  
Mathematical Model ◽  
Energy Consumption ◽  
Energy Loss ◽  
Energy Losses ◽  
Bipedal Robots ◽  
Bipedal Robot ◽  
Optimum Configuration ◽  
Actuator Placement ◽  
Theoretical Energy Consumption

In this work, we investigate the effect actuator position on the theoretical energy consumption of an electrically powered bipedal robot. Specifically, considerable gains are possible through the optimization of the actuator placement relative to joints and their axes, in particular biarticular actuators, are proposed. The energy losses of electric actuators on the two most powerful and inefficient joints of a biped, the hip and the knee, are considered. In standing or walking tasks of a biped’s legs within mathematical model, furthermore, imposing constraints on the actuator placement is used in a genetic algorithm to find the optimum configuration of various biarticular configurations.

scholarly journals MATHEMATICAL MODEL OF ELECTRIC POWER CONSUMPTIONIN ORGANIZATIONAL-TECHNICAL SYSTEM

2020 ◽  
Vol 2020 (3) ◽  
pp. 116-124
Author(s):  
Nikita Ustyugov ◽  
Oleg Miroslavovich Protalinskiy
Keyword(s):  
Mathematical Model ◽  
Power Supply System ◽  
Mutual Influence ◽  
Electric Energy ◽  
Forecast Model ◽  
Functional Approach ◽  
Scientific Data ◽  
Supply System ◽  
Current State ◽  
The Russian Federation

The article presents the purpose of the study as building a mathematical model for forecasting the consumption of electric energy and power for six price categories in the power supply system of the enterprise and developing an algorithm that allows the consumer to choose the best cost of electricity. Consideration of the system as an integral complex of interacting objects was carried out from the standpoint of cause-effect relationships and mutual influence. For the analysis of scientific data, the principles of consistency, structuring, integrity, hierarchy and multiplicity were applied. The structural-functional approach allowed to study the elements (subsystems) and the dependencies between them within a single system. The study of the current state was carried out; a forecast was made of the electric consumption of the enterprise using the initial data; a mathematical model of electric energy and power was developed for six price categories; an algorithm for determining the price category was developed, which allows finding a financially profitable price category. The study can be used as the basis for consumers in the Russian Federation to choose a financially favorable price category and cost of electric energy. There has been performed an independent experimental verification of the algorithm for determining the price category, the item of expenses “payment of consumed electric energy” for the facility has been reduced. The experiment shows the practical applicability of the mathematical forecast model and the economic efficiency of the algorithm for determining the price category of electric energy.

Sign in / Sign up

Export Citation Format

Share Document