mathematical model

CHEESE WHEY VALORIZATION AT SMALL ENTERPRISE: LCA/ TEA COMPARISON OF TECHNOLOGICAL SOLUTIONS

Approaches to whey valorization were compared (scenarios S1-S4). A mathematical model based on LCA/TEA analysis was developed. Calculations showed that all scenarios reduce climate impact (GWP). Promising valorization approaches by the balance of GWP and net operating profit are scenarios S3 and S4, which provide whey valorization to produce ricotta and processing of scotta into biogas, or its use as feed. The mathematical model is useful for initial technology selection at small enterprises.

THE APPROACHES TO NUMERICAL MODELING OF FLOW IN THE INTER-ROTOR ANNULAR REGION OF A CENTRIFUGAL COUNTERROTOR MACHINE

The article substantiates approaches to the theoretical study of the flow in the inter-rotor annular region of a centrifugal counter-rotary machine (CCM). It assumes the presence of a stable vortex structure, which may determine the CCM's high pressure. Based on the complexity of the flow in the thin region between the rotor and counter-rotary impellers, the need for a numerical study of the flow in the flow part of the CCM is justified to assess its inertial characteristics, including the influence of the vortex structure in the inter-rotor annular region of the CCM on them.

Mathematical Model of Phonon-Dependent Electron Tunneling Transport in Nanosystems

A mathematical model is proposed that describes the tunneling of electrons in nanosystems, taking into account the interaction with a phonon subsystem, which acts as a dissipative environment influencing the tunneling process.  This model allows for the detailed analysis of quantum transport phenomena in nanostructures by incorporating the effects of energy exchange and decoherence caused by phonon interactions.  The implementation of the mathematical model is performed through the construction of a corresponding difference scheme, which ensures numerical stability and

Synthesis of Automatic Control System for Low-Temperature Separator

The gas produced from the well under high pressure is fed to a complex preparation unit, where solid impurities and water are removed. Purified natural gas contains valuable components such as condensate, as well as heavy hydrocarbons, butane and propane. To extract associated components from gas (condensate and heavy hydrocarbons) low-temperature separation is used. The temperature regime in the separator is maintained by the energy of the compressed gas. When the gas passes through the throttle, due to the Joule-Thomson effect, the pressure and temperature decrease.

High-speed mathematical model of an induction motor drive and its microcontroller implementation

This paper presents a high-speed mathe-matical model of an induction motor in phase coor-dinates designed for real-time operation on the efficient ESP32 microcontroller platform. The model is based on the method of average voltages in an integration step which ensures high computational speed and numerical stability. The software implementation in the ESP32 microcontroller utilizes the Eigen library and the Free-RTOS operating system to enable real-time performance.

Mathematical Model of a Synchronous Machine With Permanent Magnets Based on the Method of Average Voltages in the Integration Step

Synchronous machines with permanent magnets (SMPM) have become widely used in modern electric drives and generator sets due to their combination of high energy efficiency, compact size and reliability. They are characterised by increased specific power, no losses in excitation circuits and reduced energy consumption. At the same time, the fixed magnetic flux created by permanent magnets imposes specific requirements on mathematical modelling, especially when developing control algorithms and researching operating modes.

Mathematical Analysis of Quantum Superdense Coding Based on Entangled States

The aim of the research is the mathematical analysis of quantum superdense coding based on quantum entanglement to increase the efficiency and reliability of information transmission in quantum communication systems. The essence of quantum superdense coding is the ability to transmit two classical bits of information using one qubit, which is part of an entangled pair.

MODELING OF PROPERTY EVALUATION OF SYSTEM-ORIENTED MEASURING INSTRUMENTS

The main purpose of system-oriented measuring instruments (MI) is to ensure automated collection, processing, analysis and transmission of measurement data as part of complex information and measurement systems. Such MI are used in automated production systems, intelligent measuring systems, in the control of technological processes and in conducting scientific research, etc. The main properties of system-oriented MI are provided by a combination of modern hardware, powerful digital processing algorithms and integration into automated systems.