Using Sine Function-Based Nonlinear Feedback to Control Water Tank Level

This manuscript addresses the feasibility and significance of using a sine function to modify the system error of a normal linear feedback control to achieve more efficient capabilities in terms of energy-saving. The associated mathematic modeling and assessment were demonstrated by presenting a case analysis on the capabilities of controlling water level for a single tank. The principle of robust control and the theories and detailed algorithm of Lyapunov stability were applied to assess the result derived by novel nonlinear feedback in the form of sine function for optimizing the robustness of the PID (Proportional–Integral–Derivative) controller and economizing energy. Two control simulations are compared: nonlinear feedback control using a sine function and conventional fuzzy control. The results reveal that using the nonlinear feedback controller, a reduction of up to 32.9% of the average controlled quantity is achieved, and the performance index is improved by 24.0% with satisfactory robustness. The proposed nonlinear feedback control using a sine function provides simplicity, convenient implementation, and energy efficiency.

Analysis Of Three Layer Concentric Tube Heat Exchange Using Mathematic Modeling

A three-channel concentric pipes heat exchanger is a development or improvement of a two-channel concentric heat exchange apparatus. This study was conducted to determine the output temperature of each channel, and compare the results of theoretical calculations using mathematical modeling of experimental results conducted in the field. So that obtained difference of value between result of experiment to result of theory calculation. In this study have 3 variations of temperature data that is 50 °C, 55°C, and 60 °C with two streams namely CounterFlow and PararellFLow and discharge 2.5 l/minute, while cold fluid with 25 °C discharge 1.5 l/minute. From the above analysis it can be concluded that the temperature of the hot fluid coming out of the APK in the experiment tends to be higher than the temperature of the hot fluid coming out of the APK on theoretical calculations of mathematical modeling methods. Meanwhile, the cold cold fluid temperature coming out of the APK in experimental tends to be lower than the temperature of the cold fluid coming out of the APK on theoretical calculations of mathematical modeling methods.

Optimizing the Finance Structure of Capital at Commercial Organization

In conditions of limited finance resources building optimum finance structure of capital is considered the most important objective, as the availability of the necessary amount of own funds can provide finance sustainability of the organization, the potential to meet timely liabilities to creditors, finance and develop new lines of work. However, any resources (both borrowed and own) have value, as they can be invested into the profitable investment project. It is obvious that the finance structure of capital can influence indirectly the level of organization profit, as in other expenses interest costs or interests payable are shown. Therefore, it is necessary to build such a correlation of own and borrowed sources, which can provide the max profit for the enterprise. As tools for building such a correlation the article proposes methods of mathematic modeling and, namely, the correlation analysis to find the interconnection between the dependent variable, i.e. work profitability and different factors - a share of own and borrowed funds. On the basis of this interconnection regression equation was built, which allows us to find out how the amount of net profit changes with a certain correlation of own and borrowed resources. The analysis was carried out based on published finance reports of the limited company ‘Gazprom Bureniye'.

Research and development of designs of the equipment for classifying the materials with particles

There are studies showing that 10% of the total energy generated in the world is spent on crushing and sifting and sorting processes in agricultural and mining sectors. 52.7% of the total mining industries extracts metal ores, 36.3% of them extracts coal and agricultural sector plants wheat and crops on the 350 thousand hectares of land per year an average. It can be seen that there is a need for sorting the materials with particles in these sectors. According to the needs, the energy expenditure is high and the devices and equipment used still maintaining their traditional designs and makes. The process of sorting out the materials with particles is sifted by the flat surfaced, trommel shaped, and cylindrical mesh surfaces positioned in vertical axis. The above methods are still in use, which becomes the basis of mechanical sifting methods. Therefore, the researchers continue to work on perfecting the above methods. The goal of this research work is to survey and determine the possibility of the changes in the designs of sifting equipment with the trommels can improve the influences that are created during the sifting process, the efficiency of sifting and the productivity of device or equipment. By this research work, with the purpose to improve the parameters of sifting of materials with particles, we will change the design of cylindrical trommel of the cross trommel sieve, which is often used in the sifting process to axle to its axis, and in order to confirm the results of experiment by determining the CAD analysis of axle trommel and the movement of one particle inside of it using the ADAMS software, the experiment on the real equipment shall be rationalized by putting into the mathematic modeling, develop the physical modeling using the “EDEM solution” software and process the results.

Methodology Of Teaching Economic Problems Based On Mathematic Modeling In Mathematics Courses

This article discusses the methods and techniques for solving mathematical problems that develop students ’economic skills and competencies in the teaching of mathematics in general secondary schools in today’s educational process. The use of practical issues in economic interpretation in the teaching of mathematics is a key stage in the development of vocational training in students. It shows how to teach and solve practical economic problems based on mathematical modeling. It also aims to further improve the quality of continuing education, to teach students to think independently in mathematics lessons, to strengthen their socio-economic, scientific and technical knowledge of mathematics. In addition, the emphasis on the use of economic issues in the formation of scientific and theoretical thinking in the teaching of mathematics will expand the opportunities for educating students as a person with knowledge, professional training and spiritual maturity.